Based on the given statements, the most accurate conclusion that can be drawn from the map would depend on the context of the map itself regarding the European Union (EU) and its member states.
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Former communist countries have been left out of the European Union. - This can be true if the map indicates that certain former communist countries are not EU members.
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Lithuania, Latvia, and Estonia share a common legal system. - This statement may not be directly supported by the map unless there is specific information about their legal systems being depicted.
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Portugal and Spain are no longer independent countries. - This is generally incorrect unless the map indicates some form of unification or dependency that isn't typical for these countries.
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People and goods can move freely between Bulgaria and Ireland. - If the map shows that both are EU member states, this would likely be true due to the EU's principles of free movement.
To summarize, without visual context but based on common knowledge about the EU, the most likely valid conclusion could be that “People and goods can move freely between Bulgaria and Ireland,” assuming both are EU member states, which they are.
If you have the specific map details in mind, please provide those for a more accurate assessment.