Why would an ex write a letter?

My ex treated me horribly after he broke up with me. He randomly reached out 5 months later (after not talking for weeks) and said “merry Christmas i know you don’t want to talk but I would like to talk I have some things to say, I’m sending you a letter to your apartment”. What could this letter say? Would a guy only send a letter if he wanted to get back together? Or is he only doing it because he doesn’t want to guilty? Guys, would you take the time to send a letter to an ex…?
Why would an ex write a letter?
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