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Preheat oven to 350° and grease a 9x9-inch pan.
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Melt the white chocolate and butter in top of double boiler over barely simmering water.
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Stir on occasion, until smooth and set aside to cool.
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In large bowl, with electric mixer, beat the eggs until foamy.
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With mixer, gradually add sugar and vanilla extract.
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Drizzle in the white chocolate mixture.
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Combine flour and salt; add to white chocolate mixture using spatula or wooden spoon.
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Blend in chocolate chips. Spread evenly into pan.
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Bake 25 minutes, or until a toothpick in middle comes out clean.
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Cool pan on wire rack before cutting.