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Preheat the oven to 350 degrees F (177 degrees C).
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Roast the pecan pieces on a baking sheet in the center of the oven for 8 minutes.
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While the pecans are hot, stir in 2 tablespoons butter and 1/8 teaspoon salt.
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Raise the oven temperature to 400 degrees F (204 degrees C).
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Boil 1 cup corn syrup, 3/4 cup brown sugar, 4 tablespoons butter, and 1/8 teaspoon salt in a medium size, heavy saucepan on medium heat for 3 minutes.
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Remove from the heat and let cool for 2 minutes.
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Stir together the arrowroot and water in a small bowl.
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Stir in 2 teaspoons vanilla.
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Stir this mixture well into the hot syrup.
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Stir the eggs and egg yolks together in a large bowl, then stir the hot syrup in a little at a time.
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Sprinkle pecan pieces over prebaked crust.
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Pour the filling over the pecans and bake in the lower third of the oven for 35 minutes.