Consider the following two languages:

L​1​ = {x | for some y with |y| = 2|x|, xy∈ L and L is regular language}

L​2​ = {x | for some y such that |x| = |y|, xy∈ L and L is regular language}

Which one of the following is correct?

1
Both L​1​ and L​2​ are regular languages
2
Both L1​ and L2​ are not regular languages
3
Only L​1​ is regular language
4
Only L2​ is regular language

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