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What happens if a remote script has finished, but the JobScheduler task which started the process remotely cannot know about that? (e.g. because of a temporarily broken network connection).

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You can configure your existing SSH job chain to start the monitoring job chain, which then will monitor the task of your original job chain as well as the processes started on the remote host via SSH. 

Mode Of Operation

To configure your SSH Job to use the SSH Session Management you have to configure your SSH Job and define a cleanup job chain for the cleanup work.

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