This is not something that happens often, but we have seen occasional cases of it.
These messages typically come in the form of payment demands or warnings that your link will be taken down, and are usually sent from an email address unrelated to the publication.
In all likelihood, it is someone manually going through articles and trying their luck by contacting sites linked within the content. It is not something to be concerned about, and we recommend ignoring or marking these messages as spam. This is a normal part of being active in link building.
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