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Preheat oven to 350 °F.
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In a bowl, whisk the eggs and sugar until light and fluffy.
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Add in pumpkin puree, vanilla and pumpkin pie spice, whisk to combine.
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Drizzle oil little by little into the batter while continuously whisking.
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Add in milk and pistachios. Mix well.
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Sift in together flour, baking powder and baking soda.
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Mix to combine but don't over mix it. The batter should be thick.
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Pour the batter in a nonstick 9 inch x 5 inch loaf pan.
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Bake for 1 hour or until fully cooked through.
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Using kitchen brush, brush cake with syrup on top, and sprinkle with ground pistachios.
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Let cool for a bit and serve.