Does duty free mean no taxes?

For example if i was to order cigarettes from south korea that are duty free, does that mean i wouldn't have to pay taxes on the cigarettes? The link below is what i plan on purchasing. I live in new york by the way if that matters. So if i ordered this would customs end up calling me up demanding tax money or... show more For example if i was to order cigarettes from south korea that are duty free, does that mean i wouldn't have to pay taxes on the cigarettes? The link below is what i plan on purchasing. I live in new york by the way if that matters. So if i ordered this would customs end up calling me up demanding tax money or will the duty free let it go through?

http://cigarcap.com/shop/step1.php?number=580
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