Earlier quoted context omitted.
bold-faced lie is just the usual English drift that was actually questioned as incorrect when it first surfaced. If a lie is bold, you don't have to suggest that the user's face is bold when doing it. You can in thirty seconds of google searching find numerous sources explaining that "bold-faced" is a malapropism.
It's the usual English drift perhaps, but "bold faced lie" has been used since the 17th century, which is also apparent from "thirty seconds of Google searching". Three hundred years is enough usage for me to count it as correct. On a side note, "bold faced" does not mean the persons face is bold, only that it is said boldly, which implies a level of rudeness that "bald-faced" or "bare-faced" does not.
You're probably referencing https://english.stackexchange.com/questions/137551/bald-face... — but see in particular the "Update" section of the top answer.
Modern references seem to align (for instance, Garner's): Bald-faced and bare-faced have slightly different connotation than bold-faced. Despite "bold-faced lie" being in somewhat common use, "bald-faced lie" is more common (over 2x according to google stats), and overwhelmingly agreed upon as the "literate" choice, unless an author intends to refer to the sort of lie that would headline an article.