Jamieson, Fausset and Brown on 2 Corinthians 13:7

7. I pray--The oldest manuscripts read, "we pray."

not that we should appear approved--not to gain credit for ourselves, your ministers, by your Christian conduct; but for your good [Alford]. The antithesis to "reprobates" leads me to prefer explaining with Bengel, "We do not pray that we may appear approved," by restraining you when ye do evil; "but that ye should do what is right" (English Version, "honest").

though we be as reprobates--though we be thereby deprived of the occasion for exercising our apostolic power (namely, in punishing), and so may appear "as reprobates" (incapable of affording proof of Christ speaking in us).