raise a doubt in [another's] mind / make *someone doubt / induce [another's] doubt

question (the credibility of *something) / have doubts / suspect (the validity of *something)

turn on / switch on

let *someone know / report to *someone / bring news to / tell *someone about [a matter] / inform *someone of

correct / make a change / manipulate / retouch / do up / rework / repair / mess with / fix up / mend / touch up

take an active interest in / be devoted to / apply *oneself to / be concentrated on / devote *oneself to

[sweep] in / [throw] into / [come] in / [run] into

[sweep] in / [throw] into / [come] in / [run] into

be deep [asleep] / go deep into [the subject] / [penetrate] deeply into

go deep into [the subject] / [penetrate] deeply into / be deep [asleep]