AA 268 then DL 5101 at Detroit
Miami → Detroit → Louisville
Timetable, Detroit time
09:10AA 268 from Miami at the gate
08:29DL 5101 to Louisville leaves the gate
23 h 19 apart on the timetable, overnight
DL 5101 leaves 23 h 19 after AA 268 arrives on the timetable: more than half a day, so not a connection we count.