tn Grk “walk.” The NT writers often used the verb “walk” (περιπατέω, peripateō) to refer to ethical conduct (cf. Rom 8:4; Gal 5:16; Col 4:5).

tc A number of important witnesses have ὑμᾶς (humas, “you”; e.g., א* A B P 0159 81 1175 al it co as well as several fathers). Other, equally important witnesses read ἡμᾶς (hēmas, “us”; 𝔓46 א2 D F G Ψ 0278 33 1739 1881 al lat sy). It is possible that ἡμᾶς was accidentally introduced via homoioarcton with the previous word (ἠγάπησεν, ēgapēsen). On the other hand, ὑμᾶς may have been motivated by the preceding ὑμῖν (humin) in 4:32 and second person verbs in 5:1, 2. Further, the flow of argument seems to require the first person pronoun. A decision is difficult to make, but the first person pronoun has a slightly greater probability of being original.

tn Grk “an offering and sacrifice to God as a smell of fragrance.” The first expression, προσφορὰν καὶ θυσίαν (prosphoran kai thusian), is probably a hendiadys and has been translated such that “sacrificial” modifies “offering.” The second expression, εἰς ὀσμὴν εὐωδίας (eis osmēn euōdias, “as a smell of fragrance”) has been translated as “a fragrant offering”; see BDAG 728–29 s.v. ὀσμή 2. Putting these two together in a clear fashion in English yields the translation: “a sacrificial and fragrant offering to God.”