Kill Active Session if User Is Banned

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I have set up a login system that checks a mysql db validating username,hashed password, and a banned column (0 means not banned and is the default value, 1 means banned). if there banned they obviously cannot loggin.The problem is i'm new to php and having a hell of a time trying to figure out how to log out a user who is currently logged in. As it stands now my cookie will last for 2weeks, and even if i ban a user, their session will stay active thus they will have acess for 2weeks or less. How can i force a user to reauthenticate, without penalizing the masses.