AA 5634 then AA 5075 at Charlotte
Louisville → Charlotte → Roanoke
Timetable, Charlotte time
14:36AA 5634 from Louisville at the gate
14:25AA 5075 to Roanoke leaves the gate
23 h 49 apart on the timetable, overnight
AA 5075 leaves 23 h 49 after AA 5634 arrives on the timetable: more than half a day, so not a connection we count.