по их

by their

→ по
phrase Rare #41,278
by their Used with a noun to express judging or understanding something by means of, according to, or based on something belonging to them. Их is invariable; the following noun is usually in the instrumental plural after по.
RU: Мы узнаём многое по их словам.
EN: We learn a lot from their words.

Я вижу это по их глазам.

I can see it in their eyes.

— Властелин колец: Две крепости (2002)

Это по их линии.

It's through their channel.

— Тайна в его глазах (2009)

Женщин часто судят по их внешности.

Women are often judged by their appearance.

Мы склонны судить о других по их одежде.

We tend to judge others by their clothes.

Я никогда не буду играть по их правилам.

I will never play by their rules.

— Королевская битва (2000)