How can police get IP address of deactivated Facebook account?

So, I created a fake Facebook account and sent a message to a friend that was questionable. The friend didn't know it was me. I regretted what I did and soon after blocked my friend from the fake account, deleted the messages, deactivated the account and it is now marked to be deleted in 14...

I understand that the police can request IP addresses of Facebook accounts and thus could track me down. But, they have to be able to identify ...

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