AA 5634 then AA 2640 at Charlotte
Louisville → Charlotte → Austin
Timetable, Charlotte time
14:36AA 5634 from Louisville at the gate
14:15AA 2640 to Austin leaves the gate
23 h 39 apart on the timetable, overnight
AA 2640 leaves 23 h 39 after AA 5634 arrives on the timetable: more than half a day, so not a connection we count.