AA 268 then DL 4010 at Detroit
Miami → Detroit → Lexington
Timetable, Detroit time
09:10AA 268 from Miami at the gate
08:25DL 4010 to Lexington leaves the gate
23 h 15 apart on the timetable, overnight
DL 4010 leaves 23 h 15 after AA 268 arrives on the timetable: more than half a day, so not a connection we count.