DL 1407 then DL 2578 at Detroit
Raleigh-Durham → Detroit → Austin
Timetable, Detroit time
20:48DL 1407 from Raleigh-Durham at the gate
19:50DL 2578 to Austin leaves the gate
23 h 02 apart on the timetable, overnight
DL 2578 leaves 23 h 02 after DL 1407 arrives on the timetable: more than half a day, so not a connection we count.