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1
Prepare a medium-hot fire in a charcoal grill with a cover, or preheat a gas grill to medium-high.
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2
To make the salsa: combine all the salsa ingredients together in a bowl; mix well.
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3
Cover and refrigerate until ready to serve.
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4
To make the spread: combine the mayonnaise and mustard together in a small bowl; blend well; cover and refrigerate until ready to serve.
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5
To make the burgers: Chop the ham in a food processor; add in the beans, chiles, and garlic; process until finely chopped.
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6
Transfer mixture to a large bowl; add in the pork, chile powder, cumin, and salt.
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7
Handling the meat as little as possible to avoid compacting it, mix well.
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8
Divide the mixture into 4 equal portions; form the portions into patties to fit the buns.
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9
When the grill is ready, brush the grill rack with vegetable oil.
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10
Place the patties on the rack, cover, and cook, turning once, until done to preference4-5 minutes on each side for medium.
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11
During the last few minutes of cooking, place the buns, cut side down, on the outer edges of the rack to toast lightly.
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12
During the last 2 minutes of cooking, top the patties with the cheese to melt.
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13
To serve the burgers: spread the mustard mixture over the cut sides of the bun tops.
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14
On each bun bottom, spread a layer of salsa; then top with a lettuce leaf, a patty, and more salsa.
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15
Add the top buns and serve.