city (esp. AmE), county, local
high-security, maximum-security, top-security (all esp. BrE)
private
overcrowded

go to
He's gone to jail for fraud.

put sb in, send sb to, throw sb into
keep sb in
keep sb out of
His lawyer worked hard to keep him out of jail.

be freed from, be out of, be released from, get out of
She could be out of jail in two years.

escape from
threaten sb with
He was threatened with jail if evidence of a hoax was discovered.

face
avoid, escape
She avoided jail by pleading insanity.

sentence, term, time
cell

at a/the jail
riots at Strangeways jail

in (a/the) jail
How long has she been in jail?
There was a fire in the jail last night.

Jail is used with these nouns as the object:
dissident