Last Modified By "Automations" View

I have an automation that is based on records appearing in a view.
The view uses the “Last Modified By” to display any time a record is modified by a user, when the user is NOT “Automations”. Thus, once the automation is run, the “Last Modified By” is set by the system to “Automations” and it should disappear from the view. However, it doesn’t disappear as the “Last Modified By” seems to stay set to “Automations”, even though a user makes a change in the record (“Last Modified By” should then be the user, so it should appear in the view until the automation runs). AM I doing something wrong or is there an alternate method to empty the view of that record once the automation is run?