Shipping methods

New Member
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Dear shopify help center!
I have some basic question about shopify.
Firstly: I found a nice bracelet with oberlo what I imported to my store. I set up prices and pictures so these products are on my main page. I set the shipping method which is epacket for all of my product. Does the factory which will produce my product know the shipping method? Cause if yes, I would write the product description the 30-35-day delivery which is marked at AliExpress as "Estimated Delivery Time". Also, I would like to ask what will happen if the delivery option I choose is not available for a country?
My second question is: I live in Hungary and I would be selling for US or Europe. The taxes and fees are always 2.9% + 0,3€ or I should expect more fees from my country? (I am in 14-day trial now) 
Thank you!