Translation of einsetzend

It seems a little bit like a pot in which you want to be happy and rich and enjoy your luck not caring about others. For example, the population is diminishing (or it was so during the last decade).
She found it very unromantic that a man would not declare friendship to a woman. Anyway, after an hour or so they got off at a town called Chetumal which was on the border with Belize, where they lived.
The door of the car was still open, so that he could not drive away. Luckily, two foreigners walked by and we were asking them to help us out. They payed for us and warned us that these situations were common.