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Preheat oven to 350°F/171°C. Grease and line two 8-inch square pans. Set aside.
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Prepare crust: Combine graham crumbs, melted butter and white sugar in a bowl until all crumbs are coated with butter. Lightly press the crumb mixture into prepared pans.
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Prebake the crust for about 8-12 minutes. Remove from the oven and let it cool.
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In a bowl, mix together brownie ingredients until smooth. Evenly divide among the pans and pour this over the cooled prebaked crusts.
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In another mixer bowl, cream together cream cheese and sugar. Add in egg and vanilla extract.
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Dollop cheesecake topping into brownies. Run the mixture with a knife or a skewer stick to make a swirl.
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Bake the brownies for around 20-25 minutes. Until the cheesecake is set.
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Once baked, top with the marshmallows, broil or torch the mallows until melted and slightly browned.
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Serve.