CX 3272 then DL 957 at Atlanta
Miami → Atlanta → Denver
Timetable, Atlanta time
12:21CX 3272 from Miami at the gate
12:01DL 957 to Denver leaves the gate
23 h 40 apart on the timetable, overnight
DL 957 leaves 23 h 40 after CX 3272 arrives on the timetable: more than half a day, so not a connection we count.