AA 6584 then DL 5845 at Philadelphia
Atlantic City → Philadelphia → Boston
Timetable, Philadelphia time
09:30AA 6584 from Atlantic City at the gate
09:00DL 5845 to Boston leaves the gate
23 h 30 apart on the timetable, overnight
DL 5845 leaves 23 h 30 after AA 6584 arrives on the timetable: more than half a day, so not a connection we count.