What does 2 Corinthians 7:13 mean?

Paul has praised the Corinthians for their response to his rebuke. They have turned from their sin. This was either agreement or non-responsiveness toward one among them who opposed Paul. They have been eager to make everything right again. Paul was deeply concerned that they might respond differently, so he has been comforted by Titus' report from Corinth.

In addition to being comforted about the Corinthians' choice to make things right, Paul also rejoiced because of Titus' joy. Titus was refreshed and encouraged by the Corinthians. Paul had apparently been concerned that if the Corinthians did not receive the rebuke in his letter positively, they might treat Titus badly. Just the opposite happened. Titus witnessed firsthand their sorrow about their sin and their eager repentance. He was encouraged not only by their kindness to him but also by the example of their faithfulness to Paul and, by extension, to God. As a result, Titus' spirit was refreshed.

This serves as an example to all believers. Any choice we make to sin does not happen entirely detached from the community of Christians. Those we might not expect to be affected can still be caught in the consequences of our disobedience. In the same way, however, a believer who chooses to repent and obey Christ once again also impacts the community at large in a positive way. We have opportunity to refresh and encourage others simply by doing what is right ourselves.