Earlier quoted context omitted.
MCAS only operates at high angles of attack, higher than normal flight would encounter. The reason it was even a factor in these crashes was the bad AoA sensor readings. If the AoA data had been correct, MCAS would not have been changing the trim.
When an aircraft pitches up, it increases the angle of attack, right? (If not MCAS would not be a fix for the pitching up problem.) And the pitching up can happen during normal flights, correct?
Yes, but not what you may be thinking. The AoA is the angle of the wing vs relative wind (the angle the wing is attacking the air). You can have high relative pitch (attitude) to the horizon but a low AoA, such as during climb. That same attitude is a full stall at slower speeds/power.
The wing doesn't care where the nose points. All it cares about is its relative angle to the wind. Once it diverges past a critical angle the wing stalls.
What appears to have happened with these MCAS issues is that the MCAS senses that the AoA is too high when it's completely normal and safe, so it auto-trims down.