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The sentences are contrasting and contradictory - A tells us that the EU will not shatter due to Brexit and will overcome the fallout from the UK’s departure, and B contradicts it by telling us that Brexit will damage Europe’s role in a way that Europeans are unable to comprehend. 1 is correct as ALTHOUGH is used to show contradiction - “Although the EU will not shatter in the wake of Brexit, and it will overcome the economic fallout from the UK’s departure, Brexit will damage Europe’s role in the world in a way that Europeans currently seem unable to grasp.” 2 is correct as HOWEVER is used to show contradiction - “The EU will not shatter in the wake of Brexit, and it will overcome the economic fallout from the UK’s departure, however, Brexit will damage Europe’s role in the world in a way that Europeans currently seem unable to grasp.” 3 is correct as WHILE is used to show contradiction - “While the EU will not shatter in the wake of Brexit, and it will overcome the economic fallout from the UK’s departure, Brexit will damage Europe’s role in the world in a way that Europeans currently seem unable to grasp.”
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