According to China's Trademark Law, any product produced or sold must comply with laws and regulations and must not contain ingredients prohibited by national laws and regulations. If the products produced under the trademark held by A contain prohibited ingredients, they are not legally protected.

According to Article 12 of the Trademark Law: “Any operator engaged in the production, processing, selection or distribution of goods, in order to distinguish himself from other operators, uses the same or registered trademark of others, or If there are similar signs, the industrial and commercial administration department of the State Council shall order it to make corrections within a time limit; if it fails to make corrections within the time limit, it may be announced, and who will implement it?” In other words, as long as A violates relevant regulations when producing products and uses signs that are the same or similar to other people's registered trademarks, he can be ordered by the relevant departments to make corrections within a time limit. If the behavior cannot be corrected within the time limit, the relevant departments can make an announcement and take corresponding measures to enforce it.

However, the "Trademark Law" also clearly stipulates that even if the product contains prohibited ingredients under certain circumstances, it will not be affected. These circumstances include: 1. Use in good faith; 2. Raw materials or additives used in legal operations. etc.; 3. Unauthorized use of the same or similar trademark that has been applied for registration before others, etc. Therefore, if the trademark held by A is used in good faith and complies with relevant laws and regulations, then the related activities of the products it produces will not be restricted by the Trademark Law.