Marbled Chocolate Cheesecake Bars

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For the chocolate batter:

3/4 cup water

1/2 cup butter

1 1/2 squares (1 1/2 ounces) unsweetened chocolate

2 cups all-purpose flour

1 1/2 cups packed brown sugar

1 teaspoon baking soda

1/2 teaspoon salt

2 eggs

1/2 cup sour cream

For the cream cheese mixture:

1 package (8 ounces) cream cheese, softened

1/3 cup sugar

1 egg, beaten

1 tablespoon vanilla extract

1 cup (6 ounces) semisweet chocolate chips