Smoking a cigarette down to the filter or even past the filter; taking the absolute last drag in a cigarette
"You think I can LoganDrag that cigarette before you pitch it?"

A reasonable person is done with his cigarette and looks to his buddy and sais "Want this?" His buddy responds, " Nah broskii I don't want the LoganDrag"
by RobStoffa May 4, 2010
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