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Beat the butter, sugar, salt and vanilla together until smooth and creamy.
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Mix in the egg yolk until well incorporated, scraping down the sides of the bowl at least once.
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Add the flour and mix just until incorporated.
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Scrape onto a lightly floured board and knead a few times, just until the dough smooths out.
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Turn onto a sheet of plastic wrap and roll into a log, wrap up and refrigerate for several hours or freeze.
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Before baking, preheat the oven to 325°F.
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Line your baking sheets with parchment.
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Slice the dough into slices about 1/8" thick and place them on the sheets about an inch apart (they won't be spreading very much, but they need air room around each cookie).
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Bake until JUST beginning to turn golden around the edges, about 16-18 minutes.
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Note: you can do many things with these cookies.
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You could roll the dough out and cut shapes.
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You could slice them even thinner and sandwich them with chocolate or jam or lemon curd.
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You could make them and then dip them half into chocolate.
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You could just make them and eat them, which is my favorite.
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Whatever you do, they will be delicious.