AA 642 then LA 2695 at Miami
New York JFK → Miami → Lima
Timetable, Miami time
17:08AA 642 from New York JFK at the gate
16:45LA 2695 to Lima leaves the gate
23 h 37 apart on the timetable, overnight
LA 2695 leaves 23 h 37 after AA 642 arrives on the timetable: more than half a day, so not a connection we count.