If I can't drive them through the board then I use a plug cutting bit to cut a shallow circular hole around the nail head and attach a pair of vise grips, then twist and lift. I either fill the hole with the next sized plug cut out of a raggedy area of the board, or just plane off the top of the wood until the plug holes are gone.
I'm thinking about building a really powerful electromagnet to just draw the nails out, much like a Quarter Shrinker.
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