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Censorship has been a huge topic for Google to try and deal with. It complies heavily with DMCA (Digital Millennium Copyright Act) requests on a regular basis and filters out searches. It also responds and complies to requests for the removal of other potentially damaging information.
Its presence in China alone has stirred many comments regarding the government's poor human rights record and lacking in freedom of speech legislation.
YouTube, also featured later in this slideshow, removes vast numbers of video each day. On the other hand, many of these include content copyrighted by others, and YouTube has had in place for some time the function to disallow even the publishing of videos which may contain music or content held in its copyright database.