When moving a reply yo a new topic, send a notification

When a user posts a reply in an older topic, we ofter move that reply to a new topic. But the user doesn't get a notification from that. They often think their post is deleted or it didn't post properly. This results in unnessesery posts and questions about it. 

It there would be an e-mail notification, or a private message, informing them the post was moved, it's clearer what happend. Something like 'Hi, your message was moved to this location: URL’. Is that a possibility to add?
It might also work together with the notification center you're working on.