The Wrexham AM announced his decision on Friday, following his deselection earlier this month by local party members as their candidate.
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It is their form of deselection.
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He served as a parliamentary private secretary to Douglas Hurd and then as a junior minister in the Departments of Health and the Environment - until he was obliged to resign in 1994 when he was revealed to have fathered a child by a Tory councillor and narrowly avoided deselection by his local party.