"conduct conversations" is correct and usable in written English.
You can use it when describing a situation in which two or more people are exchanging words with the intention of communicating or exchanging information. For example: "The students conducted conversations with each other in order to deepen their understanding of the subject."
Don't you have someone who's been out of your life for a long time with whom you still conduct conversations in your head?
Added to which, when one is truly lonesome, it is perfectly normal to conduct conversations - out loud, mind you - with imaginary television interviewers.
They scream her name, leap on to the stage with Mexican flags, pass her gifts, and conduct conversations with her (in Spanish) between songs.
There are several science-backed strategies that can help you conduct conversations in a way that makes it more difficult for your counterpart to lie.
In using office telephones, top officials conduct conversations over unsecured phones, which can be tapped by outsiders, and secure phones that use sophisticated electronic scrambling techniques to deter eavesdropping.
Intended for students with advanced speaking and listening skills (able to conduct conversations fluently) and with high intermediate reading and writing skills (able to write 1,000 1,200 characters).
They may be asked to conduct conversation practice in small groups and/or help students from underprivileged communities with a poor command of the English language.
He remembers Zhou Enlai as conducting "conversations with the effortless grace and superior intelligence of the Confucian sage".
Pinter was an only child: as a boy, he conducted conversations in the back garden with imaginary friends.
For the first time in history, we're conducting conversations through written words (or, more precisely, through typing onto screens).
And while I was reading "The Magic Mountain," on my hikes I conducted conversations with imaginary partners, not unlike the ones between Castorp and Settembrini in Thomas Mann's novel.
