One cant edit a sent inbox message on Facebook. One simply has to send an edited message and explain where the error came from. Facebook doesn't have a way to edit a sent inbox message as of yet.
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When on the 'Inbox' page on your left there are three tabs: -Messages -Updates -Sent Click on 'Sent'.
When you send a message on Facebook, your message is private between you and the recipients. It will not appear on the recipient's wall.
It means the person you sent the message to - has seen it.
It means the person you sent the message to - has seen it.