The case revolves around a ruling by the Spanish data protection agency, the AEPD, that some search results contravene the country's privacy laws.
BBC: Google fights Spanish privacy order in court
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Google is hoping to overturn five AEPD adjudications, including one involving a leading surgeon who has complained that the site's search results treat him unfairly.
BBC: Google fights Spanish privacy order in court
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The AEPD has said that this is wrong, and that in an increasingly digital world the right to be forgotten should include the ability to delete incorrect or out of date information online.