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How to remove permanent marker from a white board
Use a dry-erase marker to draw over the permanent ink.
Cover the marks as completely as you can, and be sure there the dry-erase marker isn't dried out and has plenty of ink.
It doesn't matter what color dry erase marker you use.
Wipe off the ink with a clean wipe board eraser or a soft rag. Both the permanent and dry-erase marker should come off easily.