London— Britain would now vote to stay in the EU as more young people and those who did not bother to vote in the shock 2016 referendum would now vote against Brexit, a survey of 20,000 voters showed. With just five months to go until the UK is due to leave the EU on March 29, voters now would back staying by 54% to 46%, the study by the Survation pollster for Channel 4 showed. Prime Minister Theresa May has repeatedly ruled out a rerun of the referendum, though former prime ministers Tony Blair and John Major have called for another vote, and 700,000 people marched in London in October to demand one. British election expert John Curtice said the outcome of any new vote would still depend on who turned out. “What lies behind this actually is an awful lot to do with turnout,” he said, adding that leave voting areas were seeing swings even though not many leave voters, especially older voters, were actually changing their minds.

“The swing towards remain has been strongest among...

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