Open positions will not be closed until an existing stop loss, take profit or stop out level is reached.
Existing limit orders will still be filled if the entry rate is met.
It is also the same for “Trailing Stop Loss orders” which also works even when the platform is closed. “Trailing Stop Loss orders” on cTrader functions on the trading server side.
Trading Robots(Instances) will stop working if you logout or close the trading platform.