Colossians 1v13-14, Delivered and Redeemed

Delivered (v13) and redeemed (v14) links to the OT

Moo notes a link between v13's delivered (rhyomai) and v14's redemption (lytroō) with the OT.
First from Ex 6:6-8, where "...I will free (LXX, rhyomai) you being slaves to them, and I will redeem (lytroō) you with an outstretched arm and with mighty acts of judgement....I will give it to you [the land] as a possession ( klēros, see v12). ..."
Moo says: "The parallels between this test and Colossians 1:12-14 are obvious: in both God "rescues" (rhyomai; v13) and redeems (lytroō, cf v14) people, taking them out of a situation of bondage and bringing them into an "inheritance" ( klēros, see v12)."
Moo, 103

Second from Psalm 107:
"Psalm 107 celebrates this "redemption" (lytroō, occurs twice in verse 2; cf apolutrōsis, in v14), using the language of "rescue" (rhyomai, vv6, 20) and speaking of the way the Lord had brought the exiles "out of darkness and the deepest gloom" (v14)."
Moo, 103

Third from Isaiah:
Isaiah "...depicts the deliverance from exile as a "redemption", and uses "darkness" to describe the exilic condition and "light" the new state into which the Lord brings his people (e.g. Isa 42:7; Isa 42:16; Isa 49:9)."
Moo, 103

Colossians 1v10, The walk of life

The walk of life, v10

The TDNT explains this concept as following:

"...Paul uses the for the walk of life on the basis of the LXX. Believers are to walk in the Spirit (Gal 5:16), to walk worthy of God (1 Thess 2:12) or the Lord (Col 1:10) or their calling (Eph 4:1), to walk as children of the light (Eph 5:8). Teaching on the walk of life is given (1 Thess 4:1ff; Col 2:6). Those who do not walk as directed are to be avoided (2 Thess 3:6, 11). Faith does not mean social reshuffling but it does mean a changed life (1 Cor 7:17; Eph 4:17). Baptism ends the walk of sin (Col 3:7). It sets in the past walking according to the flesh (Rom 8:4). Believers still walking in the flesh (2 Cor 10:3), but the flesh is not long lord. They now walk in the newness of life (Rom 6:4). This is a walk by faith (2 Cor 5:7). John uses 'peripatein' for ordinary "going" (John 11:9-10), but in John 8:12 it refers to the stance of faith (cf John 12:35; 1 John  1:6-7)…"

TDNT, 804f

The table below show’s that there is plenty of precedent for this word to be used as a description of a person’s walk through this life (ESV):

(Mark 7:5 ESV)  And the Pharisees and the scribes asked him, "Why do your disciples not walk according to the tradition of the elders, but eat with defiled hands?"

(John 8:12 ESV)  Again Jesus spoke to them, saying, "I am the light of the world. Whoever follows me will not walk in darkness, but will have the light of life."

(John 11:9 ESV)  Jesus answered, "Are there not twelve hours in the day? If anyone walks in the day, he does not stumble, because he sees the light of this world.

(John 11:10 ESV)  But if anyone walks in the night, he stumbles, because the light is not in him."

(John 12:35 ESV)  So Jesus said to them, "The light is among you for a little while longer. Walk while you have the light, lest darkness overtake you. The one who walks in the darkness does not know where he is going.

(Acts 21:21 ESV)  and they have been told about you that you teach all the Jews who are among the Gentiles to forsake Moses, telling them not to circumcise their children or walk according to our customs.

(Romans 6:4 ESV)  We were buried therefore with him by baptism into death, in order that, just as Christ was raised from the dead by the glory of the Father, we too might walk in newness of life.

(Romans 8:4 ESV)  in order that the righteous requirement of the law might be fulfilled in us, who walk not according to the flesh but according to the Spirit.

(Romans 13:13 ESV)  Let us walk properly as in the daytime, not in orgies and drunkenness, not in sexual immorality and sensuality, not in quarreling and jealousy.

(Romans 14:15 ESV)  For if your brother is grieved by what you eat, you are no longer walking in love. By what you eat, do not destroy the one for whom Christ died.

(1 Corinthians 3:3 ESV)  for you are still of the flesh. For while there is jealousy and strife among you, are you not of the flesh and behaving only in a human way?

(1 Corinthians 7:17 ESV)  Only let each person lead the life that the Lord has assigned to him, and to which God has called him. This is my rule in all the churches.

(2 Corinthians 5:7 ESV)  for we walk by faith, not by sight.

(2 Corinthians 10:2 ESV)  I beg of you that when I am present I may not have to show boldness with such confidence as I count on showing against some who suspect us of walking according to the flesh.

(2 Corinthians 10:3 ESV)  For though we walk in the flesh, we are not waging war according to the flesh.

(Galatians 5:16 ESV)  But I say, walk by the Spirit, and you will not gratify the desires of the flesh.

(Ephesians 2:2 ESV)  in which you once walked, following the course of this world, following the prince of the power of the air, the spirit that is now at work in the sons of disobedience--

(Ephesians 2:10 ESV)  For we are his workmanship, created in Christ Jesus for good works, which God prepared beforehand, that we should walk in them.

(Ephesians 4:1 ESV)  I therefore, a prisoner for the Lord, urge you to walk in a manner worthy of the calling to which you have been called,

(Ephesians 4:17 ESV)  Now this I say and testify in the Lord, that you must no longer walk as the Gentiles do, in the futility of their minds.

(Ephesians 5:2 ESV)  And walk in love, as Christ loved us and gave himself up for us, a fragrant offering and sacrifice to God.

(Ephesians 5:8 ESV)  for at one time you were darkness, but now you are light in the Lord. Walk as children of light

(Ephesians 5:15 ESV)  Look carefully then how you walk, not as unwise but as wise,

(Philippians 3:17 ESV)  Brothers, join in imitating me, and keep your eyes on those who walk according to the example you have in us.

(Philippians 3:18 ESV)  For many, of whom I have often told you and now tell you even with tears, walk as enemies of the cross of Christ.

(Colossians 1:10 ESV)  so as to walk in a manner worthy of the Lord, fully pleasing to him, bearing fruit in every good work and increasing in the knowledge of God.

(Colossians 2:6 ESV)  Therefore, as you received Christ Jesus the Lord, so walk in him,

(Colossians 3:7 ESV)  In these you too once walked, when you were living in them.

(Colossians 4:5 ESV)  Walk in wisdom toward outsiders, making the best use of the time.

(1 Thessalonians 2:12 ESV)  we exhorted each one of you and encouraged you and charged you to walk in a manner worthy of God, who calls you into his own kingdom and glory.

(1 Thessalonians 4:1 ESV)  Finally, then, brothers, we ask and urge you in the Lord Jesus, that as you received from us how you ought to walk and to please God, just as you are doing, that you do so more and more.

(1 Thessalonians 4:12 ESV)  so that you may walk properly before outsiders and be dependent on no one.

(2 Thessalonians 3:6 ESV)  Now we command you, brothers, in the name of our Lord Jesus Christ, that you keep away from any brother who is walking in idleness and not in accord with the tradition that you received from us.

(2 Thessalonians 3:11 ESV)  For we hear that some among you walk in idleness, not busy at work, but busybodies.

(1 John 1:6 ESV)  If we say we have fellowship with him while we walk in darkness, we lie and do not practice the truth.

(1 John 1:7 ESV)  But if we walk in the light, as he is in the light, we have fellowship with one another, and the blood of Jesus his Son cleanses us from all sin.

(1 John 2:6 ESV)  whoever says he abides in him ought to walk in the same way in which he walked.

(1 John 2:11 ESV)  But whoever hates his brother is in the darkness and walks in the darkness, and does not know where he is going, because the darkness has blinded his eyes.

(2 John 1:4 ESV)  I rejoiced greatly to find some of your children walking in the truth, just as we were commanded by the Father.

(2 John 1:6 ESV)  And this is love, that we walk according to his commandments; this is the commandment, just as you have heard from the beginning, so that you should walk in it.

(3 John 1:3 ESV)  For I rejoiced greatly when the brothers came and testified to your truth, as indeed you are walking in the truth.

(3 John 1:4 ESV)  I have no greater joy than to hear that my children are walking in the truth.

(Revelation 3:4 ESV)  Yet you have still a few names in Sardis, people who have not soiled their garments, and they will walk with me in white, for they are worthy.