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Combine 1/4 cup of your sourdough start with two cups of flour, 1 1/2 cups of water, and 1 teaspoon of salt.
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Leave in a glass bowl on your counter (if it's a cold winter's night, you may want to leave it close to a heat source) for 16-17 hours covered with plastic wrap. I have used the dough after about 12 hours, and I really don't notice a difference, but may be it's less sour. It will look similar to a sponge, like the picture below, with all of those nice bubbles after the massive hours.
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After the 16-17 hours, add the olive oil, mixing it in your bowl. Add the additional flour, stirring in 1/4 cup at a time, until your dough is no longer sticky.
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Cover your dough, and let the dough rest in a warm area for one hour.
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After the hour, if you are using a baking stone place it in the oven at 500 degree for twenty minutes. If you are using a regular baking pan, you can place it in the oven, too, but the heat doesn't keep as long, and you may need to bake your pizza longer.
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While your baking stone is heating up, place your dough on a floured surface, divide into two balls, and roll out two pizza crusts.
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Take out the baking stone after twenty minutes, and carefully place your dough on the baking stone. Top with your favorite sauce (see pesto recipe below), veggies, meat, and/or cheese.
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Cover the edge of your crust with additional olive oil for a softer crust, otherwise the exposed parts of the crust can dry quickly.
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Turn down the oven to 425, and bake for 12 minutes, checking after 10 minutes. When your cheese is slightly browning, the pizza is done.