AA 3131 then AA 1597 at Philadelphia
Las Vegas → Philadelphia → Charleston (South Carolina)
Timetable, Philadelphia time
19:16AA 3131 from Las Vegas at the gate
18:37AA 1597 to Charleston (South Carolina) leaves the gate
23 h 21 apart on the timetable, overnight
AA 1597 leaves 23 h 21 after AA 3131 arrives on the timetable: more than half a day, so not a connection we count.