are you trying to find such Records in Activity Log -which are added in Work Log After INC is CLosed? Or You want to Stop This Behavior?
Did you gave a try in the Qualification of Work Log Update Rule based on Status of Parent record If parent Record Status is not in work Log form push it thru a simple customization?
If its not possible using easy configuration then - You can do using some customization. I have not gave such a try but this is customization which can be achieved easily.