Labour gained Castle from the Liberal Democrats and the Conservatives took Dalston from the Independents in the Carlisle City Council elections.
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It is now believed that 45-year-old Robert Cantle may have travelled in his car to the Jedburgh area on Sunday morning.
A Cumbrian man has been jailed for 15 years after a police crime unit seized its biggest ever haul of firearms.
The historic event always takes place on the last Friday in July.