I cannot shut my eyes to the fact.

我不能闭眼不看这一事实。

youdao

I shut my eyes to mere slits and pretended to be sleeping.

我把眼睛眯成一道缝，假装睡着。

youdao

I shut my eyes and tried to go to sleep.

我闭上了眼睛想睡。

《牛津词典》

When I would walk outside on a winter's day in Fairbanks, a mere 125 miles from the Arctic Circle, I would divert my breath up to my eyes (the only exposed area of my body) to keep them from freezing shut.

BBC: This is Snow & Skiing week