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I mean I imagine most people leaving would still keep American citizenship and therefore still be able to vote. Unless they decide to end their citizenship which some might but I imagine most people would still want to keep that option open.
It’s worth noting, keeping your citizenship means paying US federal income taxes, regardless of where you live and work.
Most places have double tax agreements with the US. They’ll be reporting their income to the US, but only paying tax to the US on money earned in the US, from shares for example