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If you are part of the marketing effort and are making statements that are false, then you can be held liable since you know that the statements are false. In fact, if the statements are being made in the US and you are the only person located in the US, it is more likely that you are going to be held responsible rather than the person in China.
If you are involved at all in the selling of products that could be fraudulent, you could be held responsible for the selling of the fraudulent products. You are not liable for his business, you would be liable for your actions related to the business.
You could possibly be sued by customers who are dissatisfied. Whether you are being paid does not matter.
The reason that you could potentially be held responsible is because you have a suspicion that the products are fraudulent. If you did not have any reason to believe that the products are fraudulent, then you couldn't be held responsible.
If you are not the owner of the company and only work as a person who provides services for the company, then you cannot be held responsible if you are unaware that it's counterfeit and would have no reason to think that it's counterfeit. The fact that you earn more than the owner is irrelevant. If there is a personal injury from the product, the company selling or manufacturing the product would be responsible, not someone providing services to the company. However, again, if you are advertising for the company and have reason to believe that it would harm people, then you could be held responsible.
For instance, if it was a pharmaceutical product, and you had reason to believe or did know that the product was manufactured in a dangerous manner, and then you advertised the product, you could be held responsible.
What do you believe is fraudulent about the products?