DL 1323 then AA 385 at Miami
Atlanta → Miami → Lima
Timetable, Miami time
16:00DL 1323 from Atlanta at the gate
15:47AA 385 to Lima leaves the gate
23 h 47 apart on the timetable, overnight
AA 385 leaves 23 h 47 after DL 1323 arrives on the timetable: more than half a day, so not a connection we count.