3 x 2 x 2 x 200 = 2400

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VANILLA, orange, cherry, VANILLA, raspberry, lime, pecan, cherry, lemon
VANILLA, orange, cherry, VANILLA, raspberry, lime, pecan, cherry, lemon
VANILLA, orange, cherry, VANILLA, raspberry, lime, pecan, cherry, lemon
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VANILLA, orange, cherry, VANILLA, raspberry, lime, pecan, cherry, lemon
VANILLA, orange, cherry, VANILLA, raspberry, lime, pecan, cherry, lemon
VANILLA, orange, cherry, VANILLA, raspberry, lime, pecan, cherry, lemon
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200 boxes like above.