How to purchase and dowload Japanese songs sold only from iTunes store in Japan from the USA? I live in the USA and have iTunes account in the USA.
You cannot use other countries itunes stores.
As with anything else you cannot find in your local iTunes store, you need to look at other, non-apple sources.
Try looking on the artist's personal web site. The music may be available (for international purchase) on there. I've done this myself, more than once.
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