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In a bowl, using a fork, gently stir the pork with the vinegar, paprika, garlic, chile powder, cumin, oregano, 1 teaspoon of salt and 3/4 teaspoon of pepper. Using 2 lids from 1-quart takeout containers, press one fourth of the pork mixture into 4 perfect patties. Transfer to a plate. Repeat to form the remaining patties.
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Light a grill or preheat a grill pan. Season the patties lightly with salt and pepper. Grill over moderately high heat, turning once, until cooked through, about 8 minutes. Transfer the burgers to the buns, top with ketchup, lettuce and tomato and serve.
Make Ahead
The patties can be refrigerated for up to 3 hours before grilling.