AA 5634 then DL 5711 at Charlotte
Louisville → Charlotte → New York JFK
Timetable, Charlotte time
14:36AA 5634 from Louisville at the gate
14:28DL 5711 to New York JFK leaves the gate
23 h 52 apart on the timetable, overnight
DL 5711 leaves 23 h 52 after AA 5634 arrives on the timetable: more than half a day, so not a connection we count.