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Do you mean the recipes that correspond with the photos that Food52 posts on their Instagram feed? Some of them are re-posts of other people's Instagram photos, and in those cases there is a link in the photo caption telling you who originally posted the picture. Once you go to that person's account, you can see whether that person said anything about a recipe in the photo caption, or send them a message to ask for it. When Food52 posts photos on Instagram that are from the Food52 web site, I think they usually tell you how to find it in the photo caption.
The sweet staple that James Beard Award-winner Joanne Chang swears by.
The Best Natural Sweetener
30-Minute Chickpea Curry
What's New in the Neighborhood
The Best Carbonara, According to an Italian Chef
The Hits Keep Coming