AA 5865 then AA 5427 at Philadelphia
State College → Philadelphia → Washington National
Timetable, Philadelphia time
07:12AA 5865 from State College at the gate
19:34AA 5427 to Washington National leaves the gate
12 h 22 apart on the timetable
AA 5427 leaves 12 h 22 after AA 5865 arrives on the timetable: more than half a day, so not a connection we count.