AA 2767 then DL 3876 at Denver
Miami → Denver → Austin
Timetable, Denver time
11:39AA 2767 from Miami at the gate
09:42DL 3876 to Austin leaves the gate
22 h 03 apart on the timetable, overnight
DL 3876 leaves 22 h 03 after AA 2767 arrives on the timetable: more than half a day, so not a connection we count.