Consider the language where each word has the same number of 0's and 1's, regardless of order. The following words belong to this language: 01, 1100, 110001, and 01010011. The following words do not belong to this language: 011, 10100, 1, and 0000111. Provide an intuitive explanation for why this language is not regular. You may allude to the pumping lemma in order to frame your argument, or you may consider other approaches for providing your justification.

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