"Not to transgress and not to wrong" corresponds to "abstain from fornication" and to "know how to possess one's own vessel in holiness." Together with them it outlines the whole circle of fornication-related deeds forbidden by the Apostle.
"Not to transgress" means not to pass the limits established by the law in this regard. "Not to wrong one's brother" means not to seize his property by attracting his wife to oneself.
St. Chrysostom writes: "Earlier the Apostle spoke of fornication in general, but here he speaks of adultery. One must not commit sexual sin either with the wives of others or with unmarried women.
'Not to transgress,' for God gave each man a wife and set limits to nature, namely, union with one. Therefore union with another is already transgression, robbery, and greed. It is even more dreadful than any robbery.
For we do not grieve so much when money is stolen from us as when marriage is robbed." Theodoret completes this discourse: "The Apostle here called adultery greed because the one who undermines the marital concord of others touches what does not belong to him.
He steals the bed assigned to another. He strengthened the accusation by making clear that the one wronged is a brother."
St. Damascene explains why the Apostle did not use direct speech: "By a euphonious word he covertly indicated adultery, calling it the wronging of a brother."
"For the Lord is the avenger." Evidently the Thessalonians were weak on this side. Therefore the Apostle sets forth strong and fearful motives for restraining them. For the same reason, of course, he writes so much to them on this subject.
God is the avenger for all lawless deeds, but especially for deeds of fornication. By these man most of all degrades the image of God according to which he was created.
Here, however, the Apostle only reminds them. When he was with them, he explained this at length and testified with assurance that it is so, and that this transgression is very great, abominable before God, degrading and destructive for man.
St. Chrysostom sets forth the Apostle's thought thus: "First he entreated and made them blush, saying, 'as the Gentiles.' Then by arguments he showed the vileness of this, using the expression 'to wrong a brother in the matter.'
Then he adds the chief point: 'for the Lord is the avenger.' By doing this, we do not remain without punishment, and we do not experience pleasure equal to the torment that awaits us."
Here the Apostle "points to punishment to restrain lawlessness, setting fear in opposition to it" (Theodoret). By the words "for all these things," the Apostle gives us to understand that God is the avenger not for adultery alone, but for all deeds of fornication.
It is as though he says: "Do not think that I say this only about the wives of the brethren. No, I also speak of the wives of other men, of unmarried women, and of common women. God avenges union with all of them" (Theodoret).