Do you have any thing to back up this claim? I've kept chickens for 15+ years.
I don't wash, nor refrigerate my eggs. I regularly keep eggs longer than three weeks. There was a whole box i consumed once that was at least 6 months old. Not one egg was bad, although they were "drier" then usual.
Bad eggs are incredibly easy to detect. They don't smell right.
You can also dunk eggs in some water. If they float, they're bad. If they sink, you're good to go. It's so easy to do that I always check before I eat an egg.
Of course, there's always preserved eggs which are quite delicious :-)