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I actually think you might be thinking about it too much. Are the articles written by your company about your company like guest posts? If they are and you are asked to link back by the site that posted the guest post, that is a bad link. Those will be detected. Are they real articles written about the company? If so you should promote these in many ways. Why is your company linking to the articles? If it's so that they can point people to what's being said about them, you don't need to remove those links. They are there for a good reason. If you're doing the linking for your customers and potential customers, you're fine. If you're doing it for SEO purposes or to make someone happy so they will link to you, don't do it.

@Donnie and @TheeDesign- Thanks for the great insights!