How far can a recessive gene go?

My parents and others used to wonder why I was the only single left-handed member in the family. They found the answer but that recessive gene goes back to both my great-great grandfather and his dad (great-great-great grandfather) on my father's side.

That's so far and he's obviously long dead. How far can a recessive gene go?

How far can a recessive gene go?
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