。
Workplace labor issues almost never came up from them.
Literal
They [possessive-の] mouth [from-から] workplace labor-problems [subject-が] emerge thing [topic-は] almost nonexistent-was.
口から出てくる (come out of someone's mouth) is a natural way to say 'someone brings up a topic.' ことはほとんどなかった combines the nominalizer こと with ほとんど~ない (almost never) in the past. The sentence implies these women avoided or were unaware of labor issues.