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Cream the butter, add the white and brown sugar. Scrape down the bowl, add egg and vanilla.
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Mix together the flour and the baking soda and add to the creamed mixture.
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Add the oatmeal, cherries, chocolate, and toffee.
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Using plastic wrap, divide into 3 logs and wrap. Chill and slice 1/2" thick.
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Bake on a parchment covered baking sheet at 350* for 8-10 minutes.
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Cool on rack.