Hello Cory Stier,
The Access (https://customercare.igloosoftware.com/support/knowledgebase/all_articles/articles/access) on this Channel has been set up such that users can post and edit submissions, but they cannot delete those submissions.
For example, you have Write Access to the Channel, and Edit Access (via the Author rule) to the post itself. Please see our documentation on Access here: https://customercare.igloosoftware.com/support/knowledgebase/all_articles/articles/access_levels.
Please let me know if you have any questions.