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Those pots are a little too expensive to be using in an Egg. Lodge pots are cheaper and do just as good a job,
Bar Keeper's Friend works too. I also have the Le Crueset CI cleaner. It pulls the polymerized oil on the bottom of the pot right off. I have seen it get mixed reviews, but it works well for me. Ingredients say that it contains a "weak acid" which I am guessing is oxalic acid; just like BKF. They buffer it up from a pH of 1.4. I make a slurry with the BKF and let it sit for a minute. I wipe and it's as good as new.