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Thanks for taking the time to answer my question Claudio.

Thanks for your help on this question Ryan, irvingw and Gianluca. Being that I am still an SEO newbie, looking back at my original question, redirect probably wasn't the correct word to use and my example could have been clearer and more concise, my apologies (still learning). There's nothing black hat going on here, so no worries; but thanks for the words of warning. The links being discussed are from sites like Wikipedia, and other public profile pages. We're making sure that those public pages point to the correct URL. And since Company B was acquired by Company A, those public profile URL's should no longer point to www.CompanyB.com. They should all be pointing to www.CompanyA.com, instead.

Thanks for your help Ryan! I really appreciate it.