In this case, if you are debugging the workflow, you’ll see the continue button. If you are execute the process via Run button or from uipath assistant or from orchestrator, there won’t be any continue button, process directly throws error and stops execution.
If you want to continue after throwing exception, you should surround the part of your workflow(whichever sequence contains throw activity) with a try catch block, catch it in the catch block and write remaining code after finally block.
If you are using throw activity in the catch block and still if you want to continue execution, then this try catch block should be surrounded by another try catch block which catches the exception from this throw activity. See below screenshot for clear understanding:
whatever is placed in parent finally block or after parent finally block, those activities execution will continue even after your business exception