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A hen will lay eggs nearly daily for two years, thereafter it will be a bit more sporadic, of course there are always exceptions. I believe the "normal" life span is five to six years, but again...

Yes, chickens lay eggs no matter what. If there's a rooster around then the eggs may be fertilized. I think it's preferable to eat eggs that aren't fertilized.

FYI, I live in a very rural town...