The Moderate permission level will allow users to edit other people's content type. This would include removing comments from other users and permission to edit existing content. This document provides more details on the permission levels: Standard Space Permission Levels
You might consider creating a separate user group and adding several users that can moderate the content for the impacted space. This would help prevent the bottleneck for the admin(s). Only users with either moderate or Administer permissions will be able to delete content.
Hope this helps.