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"Make a full backup of your hard disk and all of its data (including your Boot Camp partition, which is not normally backed up by Time Machine), then erase your hard disk and create a single Mac OS Extended (Journaled) partition.
Reinstall Mac OS X v10.6 Snow Leopard, then re-download the OS X Lion installer from the Mac App Store and retry your install.
If you use Boot Camp, you can run Boot Camp Assistant after installing OS X Lion to create a new Boot Camp partition, then restore the data from the backup you made of your previous Boot Camp partition."