Do check Wheat's answerDo check Wheat's answer where he discovered the circumstances where OS X has a bug and the duplicates are caused by updating an App from the App Store.
For others where this isn't caused by a specific bug in Mountain Lion, the rebuilding has ruled out a stale launch services database, you should now rebuild your entire spotlight database.
This assumes you don't really have several copies of PDFPenPro - so you might run mdfind app_name
before and after rebuilding spotlight since that is the likely cause of duplicate entries.
This might also be a good time to be sure your backups are current - random filesystem errors, incompatible utilities, or impending disk failure also could explain the database continuing to get rebuilt with duplicate entries.