AA 268 then DL 1627 at Detroit
Miami → Detroit → Memphis
Timetable, Detroit time
09:10AA 268 from Miami at the gate
08:50DL 1627 to Memphis leaves the gate
23 h 40 apart on the timetable, overnight
DL 1627 leaves 23 h 40 after AA 268 arrives on the timetable: more than half a day, so not a connection we count.