William Burkitt on Hebrews 13:22

Our apostle had shut up and closed his epistle before: he adds these verses by way of postscript. Now he begs of them kindly to accept, and wisely to improve, the exhortations given them in this epistle, wherein he has handled many weighty matters in few words. He lets them know that Timothy was set at liberty, and probably gone forth to preach the gospel, with whom if he returned shortly, he hoped to come unto them, being desirous to see them.

And thus with salutations to them all in general and church governors in particular, both from himself and them an increase of all grace, and an abundant sense of the love and favour of God in Christ, saying, Grace be with you all, Amen.