How can I recover my MS Office 2011 product key?
This is an old thread, but I ran into this issue and the way to fix it is as follows:
You have to be able to access the hard drive you migrated from.
Make sure all Office programs are closed.
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On the new hard drive/computer you migrated to, delete the following file:
/Library/Preferences/com.microsoft.office.licensing.plist
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Go to the HD you had a working copy on, and copy that same file from the same location to the new HD.
It should have an older date from when you installed it and activated it.
Depending on where you bought Office 2011, you can retrieve the product key from Microsoft using the instructions on their website.
If this doesn't work for you (ie. you probably don't own a legitimate copy of the program) I'm afraid you're out of luck, I believe the licensing information may be stored in the com.microsoft.office.licensing.plist file which is located in ~/library/preferences but it's encrypted so... good luck with that.