I was told those reasons too - about the placenta getting old and the big baby - but I haven't seen anything to suggest that they definitely happen at 42 weeks on (or that a big baby is an issue - people have big babies earlier too and survive don't they?)
I have not had my membranes swept - sounds painful and then doesn't that open me to infection/being on the clock if my water breaks?
Natural methods - I think I am going to start some of them today. Which ones did you have in mind?
Get used to me. Black, confident, cocky; my name, not yours; my religion, not yours; my goals, my own; get used to me. -Muhammad Ali