DL 1510 then DL 151 at Atlanta
Miami → Atlanta → Lima
Timetable, Atlanta time
14:55DL 1510 from Miami at the gate
14:35DL 151 to Lima leaves the gate
23 h 40 apart on the timetable, overnight
DL 151 leaves 23 h 40 after DL 1510 arrives on the timetable: more than half a day, so not a connection we count.