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Preheat oven to 350 degrees and line 2 baking sheets with parchment paper.
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Using an electric or handheld mixer, cream butter and sugar together for 5 minutes on medium high speed.
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Reduce speed to low and add vanilla and eggs, one at a time and scraping bowl after each addition.
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Beat dough on medium high speed for another 5 minutes.
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In a separate bowl, combine corn kernel flour, all purpose flour, corn flour, baking powder, and salt.
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With your mixer running on medium low, gradually add flour mixture and mix until just combined.
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Scoop out 1 inch balls, roll, then roll in sugar.
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Place in cookie sheet about 2 inches apart and bake for 10-12 minutes.
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To assemble cookie sandwiches, slightly soften ice cream.
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Scoop out ice cream onto one cookie and sandwich together with another cookie.
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Freeze for about 10 minutes before serving.