AA 4685 then DL 5595 at JFK
Chicago O'Hare → New York → Washington
Timetable, New York time
11:40AA 4685 from Chicago O'Hare at the gate
10:25DL 5595 to Washington leaves the gate
22 h 45 apart on the timetable, overnight
DL 5595 leaves 22 h 45 after AA 4685 arrives on the timetable: more than half a day, so not a connection we count.