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Peel shrimp, and place them in a bowl, seasoning with salt and pepper.
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In a food processor, put the flaky salt, black pepper, garlic, basil, parsley, Espelette pepper, and lemon zest. Pulse to coarsely grind ingredients. Add oil slowly, blending into a rough paste or sauce.
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Spoon ⅔ of the green sauce on the shrimp and toss in the bowl to coat. Save remaining sauce. If you have time, let marinate at room temperature for up to an hour, or in the refrigerator for several hours, then bring to room temperature. If you don't have time, don't worry, it'll still be great.
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Turn on your broiler or grill to high. If using the broiler, lay the shrimp out on a broiling pan in one layer; if using a grill, consider making skewers. Grill or broiler the shrimp for about 3 minutes per side - do not overcook or they'll be rubbery.
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Remove, and pour the remaining green sauce on top, serving with lemon wedges.