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Preheat your oven to 325 degrees, and generously grease a 9x13 inch pan with baking spray. Optionally, line the pan with parchment paper that has a little overhang for easy removal.
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In a medium bowl, whisk together the flour, cornstarch, baking powder, and salt until combined, and set this mixture aside. In a large bowl, beat together the butter and sugar until light and fluffy, about 2 minutes. Beat in the vegetable oil until just combined. Then add in the vanilla extract, and beat in the eggs one at a time until just incorporated.
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Add in about 1/3 of your flour mixture and mix until just combined, and then add in about half of your buttermilk, again mixing until just combined. Repeat these steps until all of your flour mixture and buttermilk has been added, and you have a smooth batter.
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Pour your batter into your prepared cake pan and bake for 38-40 minutes, or until a cake tester comes out clean.