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Preheat oven to 350F.
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In the bowl of a stand mixer fitted with a paddle attachment (or with a hand mixer), cream together butter, brown sugar, and granulated sugar until fluffy. Add egg and vanilla and mix.
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Sift in flour, cornstarch, baking soda and salt. Mix until just combined. Fold in chocolate chips using a rubber spatula.
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Drop dough, using a tablespoon, onto a prepared baking sheet. Bake for 8-10 minutes, just until the edges start to brown. The insides will not brown.
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Transfer the sheet to a wire rack and let cool for about 5 minutes before removing from pan.