Basically, nothing happens.
In case you stopped copying trades when you still have existing open positions, then these positions will remain untouched as they are.
“Stop Copying” does not execute any positions, so you will need to close it by yourself.
All trades are copied instantly with eToro, and all processes(start copying, stop copying and etc) are also done instantly.
Profit on your own
Even if that you are able to chat with other traders, and copy trades from profitable traders, that doesn’t mean that your profits are guaranteed by eToro.
eToro only offers one of the most innovative Social Copy Trading System, and it is your responsibility to take care of your accounts and trades.