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1
Chop one-half of the onion, and slice the other half.
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2
Heat 1 T of the olive oil in a big skillet, over a medium heat, until hot.
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3
Reduce the heat to med-low and then add the chopped onion, cook them for about 4-5 minutes, or until soft.
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4
Press 1 garlic clove into the skillet and cook for only about a minute.
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5
Take out the onion and garlic and reserve.
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6
Heat the remaining olive oil in the same skillet over a medium heat.
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7
Add the sliced onion and cook for about 4-5 minutes, stirring.
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8
Take those onions out and set aside to cool.
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9
Wipe the skillet out.
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10
Mix the mayo and paprika and press the other garlic clove into it and mix.
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11
Add the pork and ground round to the cooled chopped onion mixture and stir.
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12
Pat out the meat mixture into 6 burgers.
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13
Then season them on both sides with salt and black pepper, to taste.
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14
Heat the remaining olive oil in the skillet, over medium heat.
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15
Put the burgers into the hot skillet and cook for about 5-6 minutes per side, or until they are just about cooked through.
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16
While the burgers are cooking, combine the piquillo peppers, olives and the sliced onion and then season with salt and pepper to taste.
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17
Divide the mixture on top of each of the 6 almost cooked burgers, while in the skillet.
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18
Then top each with a slice of cheese.
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19
Put the heat on low, cover the skillet, and cook for about 1 minute.
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20
You just want the cheese to melt.
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21
Spread the top and bottom of each hamburger bun with the mayo mixture and then put a burger on the bottom half of each bun and top.