Polish English Dictionary
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stać się chorym in English:
1. 
run down
The battery has run down.
hit and injure sb with a vehicle/My dog was run down by a bus.
My father worked very hard last month and now he is run down.
She got run down outside school.
I’ll just run down the list and see if we’ve forgotten anything.
She feels run down after working so hard recently.
English word "stać się chorym"(run down) occurs in sets:
phrasal verbs look come break run go2. 
come down with
John has come down with a chickenpox.
„It’s typical for me to come down with flu every year.”
I forgotten my hat and it's very cold. I'll come down with flu.
the get sick 