Soldo injured his knee in a making octets during Friday night’s win over Geelong, while Lynch suffered a hamstring injury during the match.
“As a team, we’re disappointed for him to sustain a long-term injury,” Richmond football boss Tim Livingstone said in a club statement.
“As we always do with our people, in tough times we rally around them like family, and we’ll continue to support Ivan in the coming days and months throughout his recovery journey.
“He’s a wonderful player for us, but more importantly, he’s a wonderful person to have as part of our Club. We wish him well in his recovery, and we will be with him every step of the way.”
Lynch is set to miss the tigers round 18 clash with Adelaide, but is in line to make a returning time for finals.