Most likely, this won't affect your rankings, as it sounds like this is being done to create content on scraper sites for the purpose of luring traffic to the malicious content.

Would you be willing to PM me with some of the links? I would be curious to take a look at the sites, as well as seeing if there is anything that looks like it may refer back to your original site in a harmful way.

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The best way to learn anything, is to question everything.