After being punished and removed from the shelves, whether AliExpress products can be put back on the shelves depends on the following factors:

1. Violation: If the product is removed from the shelves because it violates the platform regulations, you need to first understand the specific reasons for the violation and rectify the relevant issues. After rectification, you can submit an application to the platform for listing.

2. Penalty period: According to the regulations of the AliExpress platform, the penalty period for different violations is different. During the penalty period, the product cannot be put back on the shelves. You need to pay attention to the penalty period and apply for reinstatement after the expiration of the period.

3. Product rectification: According to the reasons for the violation, rectify the product, including but not limited to modifying the product title, description, price, etc. Ensure that the product meets the platform regulations and market demand.

4. Store reputation: Maintain the store's favorable review rate and improve the store's reputation. This can be achieved by optimizing customer service, improving product quality, and promptly handling after-sales problems.

5. Marketing and promotion: Before the product is put back on the shelves, other channels can be used for marketing and promotion to attract potential customers. For example, increase brand awareness through social media, forums, advertising, etc.

6. Keep abreast of policies: Pay attention to the policy dynamics of the AliExpress platform to ensure product compliance. At the same time, understand industry trends and seize market opportunities.

In summary, after a product is punished and removed from the shelves on AliExpress, as long as it is rectified in accordance with the platform regulations and pays attention to relevant factors, the product may be put on the shelves again. However, it should be noted that platforms with serious or repeated violations may conduct stricter reviews of stores, which may even lead to store bans. Therefore, in daily operations, it is imperative to abide by platform regulations and operate in good faith to avoid similar problems.