It completely depends on the chapter and the person involved. I've seen it happen both ways: a person gets a lot of responsibility quickly and stays involved throughout, or they become overwhelmed and stay hands-off from that point onward.
One point though - there are plenty of chapter founders who are freshmen/sophomores, and plenty of young chapter presidents who stay involved through graduation and beyond. I don't think you can make a hard and fast rule to cover everyone.
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