Mold-like substance in fresh eggs
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Someone just posted a similar picture in the last week. How old are the eggs? Pseudomonas and staphylococcus bacteria can infect eggs sometimes. There is a good article about "common egg quality problems" if you Google it or do a search at the top of this page.
Edited by Eggcessive - 5/10/16 at 8:12pm
Yep, the photos look very similar.