AA 2414 then AA 3568 at DFW
Washington → Dallas-Fort Worth → Abilene
Timetable, Dallas-Fort Worth time
19:53AA 2414 from Washington at the gate
19:32AA 3568 to Abilene leaves the gate
23 h 39 apart on the timetable, overnight
AA 3568 leaves 23 h 39 after AA 2414 arrives on the timetable: more than half a day, so not a connection we count.