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As you probably know, Hotmail has been converted to Outlook.com. Please refer to the following official support article for retrieving e-mails:
This will give you all the information on restoring lost e-mails. If for some reason the e-mails are no longer available, then I'm afraid it sounds like they've been removed from the server.
Let me know if you have any other questions on this and I'll be happy to help in any way that I can!
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