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1
Bring a large pot of lightly salted water to boil over high heat.
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2
Meanwhile, in a small bowl, whisk mayonnaise, Parmesan, lemon zest and juice, water, anchovy paste, and garlic until blended.
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3
Set aside.
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4
Position oven rack 4 inches from broiler element and heat to high.
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5
Spray a broiler-pan rack with nonstick cooking spray.
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6
Season both sides of flounder with salt and pepper.
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7
Place fillet halves skinned side up on a work surface.
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8
Starting at the narrow end, roll up a fillet; transfer it to prepared broiler pan, seam side down.
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9
Roll up remaining fillet halves and arrange on broiler pan.
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10
Add linguine to the boiling water and cook according to package directions until al dente, about 7 minutes.
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11
While pasta is cooking, broil flounder 6 minutes or until tops are lightly browned; remove from broiler.
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12
Spread tops of flounder rolls with mayonnaise mixture; broil until topping is golden brown and bubbling, 1 1/2 to 2 minutes longer.
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13
Drain pasta, reserving 1/2 cup of the pasta cooking water.
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14
Return pasta to pot; stir in tomatoes and pesto sauce until evenly coated, adding some of the cooking water to thin sauce if necessary.
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15
Divide pasta onto 4 plates and top each with 2 flounder rolls.
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16
Sprinkle with parsley.