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What Labour should've done is make it clear that the EU referendum only asked the question on whether we should leave the EU or not. It did not mention anything about leaving the single market or exiting the customs union. Those should've been raised at every opportunity and could have been used as a reason to vote against the bill en masse by Labour MPs, whilst maintaining some credibility with their constituents.
I don't think that would have worked--again, not because it would have been bad or wrong or anything like that, but just because the distorting power of the UK press is so great that it would have ended up being presented as a total nonsense that would constantly have put Labour on the back foot. To be fair, the EU was rather daft to immediately pounce on how the 'four freedoms' were inseparable and non-negotiable, etc. All that being as it may, it wouldn't have caused Labour et al. to win a vote in the Commons.
Scottish voters voted 60/40 to remain. A lot of constituencies of Labour MPs voted to leave, which put those MPs in a difficult situation as they couldn't really be seen to vote against this bill.
What Labour should've done is make it clear that the EU referendum only asked the question on whether we should leave the EU or not. It did not mention anything about leaving the single market or exiting the customs union. Those should've been raised at every opportunity and could have been used as a reason to vote against the bill en masse by Labour MPs, whilst maintaining some credibility with their constituents.