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If the LLC is a single member LLC and the nonresident is not physically in the US doing business in the US the income would be self employment. The sourcing rules say that for Business income: Personal services the income is sourced where the services are performed. If Business income: Sale of inventory -purchased then the factor determining source is Where sold. If Business income: Sale of inventory -produced then where produced determines the source.
The LLC would need to be under the sourcing rule that shows not sourced in US.
ARTICLE 7 Business Profits of the US mexico Tax Treaty covers business profits and tax.
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