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SAUCE:.
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Heat olive oil in a skillet over medium heat.
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When hot, add the onion and garlic and cook, stirring, until it is soft and translucent, about 5 minutes.
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Add the ground beef, breaking it up with the back of a spoon, and cook until nicely browned, about 10 more minutes.
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Stir in the ketchup, chili powder, and mustard and simmer for 15 minutes until thickened.
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Season with salt and pepper.
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While the chili is cooking, get the grill going.
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Place a large grill pan on 2 burners over medium-high heat or preheat an outdoor gas or charcoal barbecue and get it very hot.
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Take a few paper towels and fold them several times to make a thick square.
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Blot a small amount of oil on the paper towel.
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Then carefully and quickly wipe the hot grates of the grill to make a nonstick grilling surface.
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Bring a pot of water up to a simmer and parboil the dogs for about 5 minutes.
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Take them out of the water, pat them dry, and grill them just long enough to mark them. (That'll give them a grilled flavor too.)
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Brush the insides of the rolls with olive oil and lay them face down on the grill; cook until toasty.
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To serve, put a dog in each roll and top with the chili and some Cheddar.