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Preheat oven to 375 degrees F.
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In a large mixing bowl, whisk together the flour, oats, and baking soda. Set off to the side.
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In the bowl of a stand mixer fitted with the paddle attachment (or in a large mixing bowl, using a hand mixer), cream together the butter, sugars, and pudding mix on medium speed, about two minutes.
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Add each egg, one at a time. Beat for a minute in between each addition.
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Gradually add in the flour mixture. Beat until just about incorporated. Add the apples and cranberries. Fold together using a rubber spatula.
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Line two large baking sheets with parchment paper. Scoop out large tablespoons of dough, roll into balls, and place on baking sheets about an inch apart. Bake for 10 to 12 minutes until golden around the edges. Remove from baking sheet and cool on wire rack.