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Paul and Timothy, bond-servants of Christ Jesus (the Messiah, the Anointed),
Paul - an apostle; no more apostles today; In General sense; to have been a witness of the resurrected Christ (1 Corinthians 9:1)
Timothy - convert and friend of Paul
Bond Servant - not servant but slave; owner owes him nothing; voluntary position of...; slaves of Jesus Christ
Christ Jesus - the Messiah, the Anointed One
To all the saints
All Christians are saints; Greek: those set apart; called to service of God; OT only some; NT all; (God’s people) in Christ Jesus; OT under law;
including the overseers and deacons:
overseers = elders in Titus 1:5,7 pastor
deacons = assistants to pastor and/or run the church
2 Grace to you and peace from God our Father and the Lord Jesus Christ.
[inner calm and spiritual well-being];
peace = not to stress over anything; from your next paycheck to your salvation; one more challenge than the other

3 I thank my God in every remembrance of you,4 always offering every prayer of mine with joy [and with specific requests] for all of you,
need context: Paul in chains; was 10 years ago they met! Paul still thanked God for them! Not LIP SERVICE. Paul not lie.

5 [thanking God] for your participation and partnership [both your comforting fellowship and gracious contributions] in [advancing] the good news [regarding salvation] from the first day [you heard it] until now.
FROM THE FIRST DAY: advancing the good news; witnessing; initial excitement carried for nearly 10 years!
When last time you witnessed? Even last time prayed for opportunity to witness?
Pick a person = pray for conviction; soon approach them; also pray opportunity to witness to ANYONE!

6 I am convinced and confident of this very thing, that He who has begun a good work in you will [continue to] perfect and complete it until the day of Christ Jesus [the time of His return].
a Christian's growth is an ongoing project; no improvement in own life then beware!

7 It is right for me to feel this way about you, because [you have me in your heart as] I have you in my heart, since both in my imprisonment and in the defense and confirmation of the good news [regarding salvation], all of you share in [His matchless] grace with me.
differs from first reading since both versions are possible; debateable whether in HIS heart or THEIR heart; either could be correct

8 For God is my witness, how I long for all of you with the affection of Christ Jesus
[whose great love fills me].

9 And this I pray, that your love may abound more and more [displaying itself in greater depth] in real knowledge and in practical insight,
verse 3 mentioned he prayed for them regularly; now what did he pray for?