If there is a lot of jelly-like white, the egg is fresh. As it ages the white thins out. The stringy things on the sides of the yolk are the chalazae. These are twisted strands of white which act like nature's little seat belts holding the yolk securely and protected in the middle of the white. The more prominent the chalazae, the fresher the egg.
Eggs are usually good if refrigerated for one to two weeks after purchase.
They are good however 4 -5 weeks beyond the pack date. Eggs are placed in their cartons large end up to keep the air cell in place and the yolk centered. Store eggs in their cartons to keep them fresh and prevent them from absorbing odors from other foods in the refrigerator. If you drop an egg on the floor, sprinkle it heavily with salt for easier clean-up. Hard Cooking Older eggs peel more easily than fresh eggs.