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Preheat oven to 375 degrees.
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Line a cookie sheet with parchment paper or foil.
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Unroll puff pastry onto the cookie sheet. Fold edges ½ an inch inward all the way around.
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Sprinkle the puff pastry with shredded Gruyère.
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Trim off the flat edges of the asparagus (about 1 inch off).
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Lay asparagus onto cheese pastry.
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Scatter sliced garlic over asparagus.
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Drizzle with olive oil and sprinkle with salt and pepper.
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Bake for 15-20 minutes or until the edges start to brown.