Persistence of a variable's state

If I have a true/false variable value that is triggered by a user's action, will that new vlaue remain in place for that user session-to-session until something they do changes it?

Example: Reaching the end of a course module changes a variable value to TRUE, and then state of that module's button in the course main menu changes in response to that variable. If that user logs out and logs in again later, will the variable state remain TRUE?

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