Complex sentence: When he does, Ward answers the phone, then hands it to Bresnavitch who listens as Rone says he'll go get the letters back if Bresnavitch gives him and Ward passports along with absolute security so they can leave the USSR.
Split into simpler sentences: When he does, Ward answers the phone, then hands it to Bresnavitch who listens. Rone will stop the letters from being sent if Bresnavitch gives him and Ward passports along with absolute security so they can leave the USSR.