Is illegal immigrant synonym of undocumented?

Apparently, 'inmigrantes indocumentados' (undocumented) means 'illegal immigrants' to Google translate. This must definitely be an epic failed from Google.

Take a look at it by yourself at http://abcnews.go.com/ABC_Univision/ABC_Univision/google-translate-finally-undocumented/story?id=19950599

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