How to fix an invalid sibling link error on the hard drive?

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Summary: Tutorial to fix invalid sibling link error on hard drive via fsck command, recover lost data from invalid sibling link hard drive, and then fix the error by reformatting.

Just recently I ran into a problem with my internal hard drive when I tried to Verify Disk, but it failed and responded "Invalid sibling link." The repair Disk didn't work at all. I searched the web and Apple's site, and couldn't find anything useful except to reformat the hard drive. Can anyone give me a few clues on how to fix an invalid sibling link error?