AA 5878 then AA 5634 at Charlotte
Salisbury → Charlotte → Louisville
Timetable, Charlotte time
10:40AA 5878 from Salisbury at the gate
09:50AA 5634 to Louisville leaves the gate
23 h 10 apart on the timetable, overnight
AA 5634 leaves 23 h 10 after AA 5878 arrives on the timetable: more than half a day, so not a connection we count.