prosecute
/ˈprɑːsɪˌkjuːt/
verb
-cutes; -cuted; -cuting
law :to hold a trial against a person who is accused of a crime to see if that person is guilty [no obj]
to work as a lawyer to try to prove a case against someone accused of a crime [+ obj]
[+ obj] formal :to continue to do (something) :to proceed with (something)