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Preheat oven to 350 degrees, with rack in lowest position. In a large skillet, melt butter over medium. Add leek and asparagus; season with salt and pepper. Cook, stirring occasionally, until asparagus is crisp-tender, 6 to 8 minutes; let cool.
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In a large bowl, whisk together eggs, half-and-half, 1/2 teaspoon salt, teaspoon pepper, and a pinch of nutmeg. Place pie crust on a rimmed baking sheet. Sprinkle with cheese; top with asparagus mixture. Pour egg mixture on top.
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Bake until center of quiche is just set, 50 to 60 minutes, rotating sheet halfway through. Let stand 15 minutes before serving.