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Slash the edges of the pork chops to prevent curling.
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In a large skillet, heat 1 tablespoon of the oil over medium-high heat and brown the pork.
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Transfer to a plate.
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Drain the fat from the pan and add the remaining oil.
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Cook the onion, garlic, pepper, red pepper flakes and salt over medium heat, stirring occasionally, until softened, about 4 minutes.
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Add the tomatoes and tomato paste and mash with a potato masher.
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Add the olives and capers and bring to a boil, stirring and scraping up the brown bits.
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Reduce the heat and simmer until thickened, about 10 minutes.
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Return the chops and any juices to the pan and add the basil.
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Cover and simmer until the juices run clear when the pork is pierced and just a hint of pink remains inside, about 10 minutes.