Ephesians 5:2

And--in proof that you are so. walk in love--resuming Eph 4:1, "walk worthy of the vocation." as Christ . . . loved us--From the love of the Father he passes to the love of the Son, in whom God most endearingly manifests His love to us. given himself for us--Greek, "given Himself up (namely, to death, Gal 2:20) for us," that is, in our behalf: not here vicarious substitution, though that is indirectly implied, "in our stead." The offerer, and the offering that He offered, were one and the same (Joh 15:13; Rom 5:8). offering and a sacrifice--"Offering" expresses generally His presenting Himself to the Father, as the Representative undertaking the cause of the whole of our lost race (Psa 40:6-8), including His life of obedience; though not excluding His offering of His body for us (Heb 10:10). It is usually an unbloody offering, in the more limited sense. "Sacrifice" refers to His death for us exclusively. Christ is here, in reference to Psa 40:6 (quoted again in Heb 10:5), represented as the antitype of all the offerings of the law, whether the unbloody or bloody, eucharistical or propitiatory. for a sweet-smelling savour--Greek, "for an odor of a sweet smell," that is, God is well pleased with the offering on the ground of its sweetness,and so is reconciled to us (Eph 1:6; Mat 3:17; Co2 5:18-19; Heb 10:6-17).

— Jamieson-Fausset-Brown Commentary (public domain)