In paying Siobhain McDonagh very substantial damages, The Sun accepted information on her stolen mobile phone should not have been accessed and used.
A QC told the High Court on behalf of the newspaper it was a serious misuse of private information.
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Another Briton named as Jason Robert Parnell is missing after the accident near the popular Koh Samui island resort.
The text-to-register service allows mobile users to add their number to the Telephone Preference Service 'do not call' database.
A consumer report found that a number of once-a-day sunscreens decreased in protection by an average of 74% after six to eight hours.