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Heat a skillet on medium heat. Add the oil and get warm but not hot.
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Meanwhile, spread the softened butter on one side of each of the pieces of bread.
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Put the bread, one on top of the other - butter side together.
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Top with the turkey and then the roast beef.
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Add the muenster cheese and then the shredded cheeses.
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Place the sandwich in the skillet butter side down.
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Grill 3 - 4 minutes on the first side. (Put a press or a weight on top of the sandwich)
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Flip the sandwich to the second side. Put the press back on top of the sandwich for 2 minutes.
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For the final 2 minutes of cooking, put a lid on the skillet to help get a good melt on the cheese.
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Cut the sandwich in half.
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Serve and enjoy!