Layman – English editing.

[Bunty]

To avoid sounding unintentionally sexist you could consider replacing layman with layperson in the singular and laypeople in the plural: in layperson’s terms; scholars and educated laypeople alike.

[alicabirrel]

You could consider doing this, but why would you?  Unlike demonstratively stating "his" in a gender un-neutral tense, layman is a commonly-accepted colloquialism and changing it to layperson is not really necessary when it comes to writing.  For someone to become offended by the usage of this term is almost a non-issue in my opinion.