The Mountain Between Us (film)

They meet at a restaurant in Manhattan, where it is revealed that Alex is now a part-time teacher who is uncomfortable flying, and Ben is now working as a consultant at trauma clinics, as his frostbitten hands have not recovered sufficiently for him to operate. Ben admits that he did not call Alex back because he thought she would be married, and Alex responds that she couldn't go through with it; she fell in love with Ben while they were together on the mountain. After leaving the restaurant, Ben admits to Alex that they survived because they fell in love.

Question: does alex die in the mountain between us
Answer: no