Yes. That is the Certified Humane symbol you should look for.I read that too, about cage-free and free range. Too many hens in one place, the hens all crowded with nowhere to run, on one level and can’t see their way to the outside, if there is an outside.
I found these eggs and have no idea about them, it has a label on the upper left “Certified Humane” but with no attribution. Hopefully this is what you mean? Seems to be improvement, even if it is incremental. The picture there looks so misleading, it’s not possible the chickens could have fresh grass in a commercial farm.
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The side has this:
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Butters I think. Giving those eggs the side-eye.
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It is the symbol of the independent group that certifies how the chickens live. One thing I find encouraging is that availability of Certified Humane eggs has increased - it used to be only one grocery store near me, now it is in several. You can also see the label on things like mayonnaise.
Here is the link to the group that certifies them - as you can see it is a pretty low bar relative to the lives all our chickens live and they have plans to raise the bar which would be great.
https://certifiedhumane.org/