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UK Prime Minister Boris Johnson hopes in the coming days to strike a deal that takes the UK out of the EU.
Doing so would implement the result of the referendum of June 2016, in which 52% of voters backed Leave and 48% Remain.
But where do voters stand on Brexit now, after more than three years of debate and negotiation?
There is no majority for any course of action
First, no single course of action is preferred by a majority of voters.
For example, polling firm Kantar has asked voters on a number of occasions which of four possible outcomes they prefer.
The most popular choice has been to remain in the EU. However, this secured the support of only about one in three.
The next most popular, leaving without a deal, is preferred by slightly less than a quarter.
Much the same picture has been painted by another survey. BMG asked people which of five alternatives they would prefer if a deal is not agreed by the end of this month. None has come even close to being backed by more than half of voters.
Should no agreement be reached, the single most popular option is to leave the EU without a deal. Even so, it is still only backed by about one in three.
Both of the next most popular options – holding another referendum and reversing Brexit without a referendum, are only chosen by about one in five.
Three polls, by Opinium, Panelbase and ComRes have asked people what they thought of proposals for a deal put forward by Mr Johnson.
All three found that slightly more voters were in favour of them than against. However, they were still backed by well under half.
In Opinium’s poll, just 27% thought the proposals would represent a good deal, while 22% reckoned they would represent a bad one.
Most people either said it would neither be good nor bad, or that they did not know.
Both Panelbase and ComRes found that 31%-32% support the proposals, while 27%-28% oppose them. But in both cases 41% said they did not know.
Against this backdrop, what voters will make of any compromise deal that Mr Johnson might strike with the EU is far from clear.
Leave and Remain voters hold very different views
Second, those who voted Remain and those who backed Leave have very different preferences.
The single most popular option among Leave voters is to exit the EU without a deal.