In FortiSOAR, system-level logs that can be purged include both 'Audit logs' and 'Executed Playbook logs.' These types of logs can be configured to be purged periodically to free up storage space and ensure that unnecessary logs do not impact system performance. The application configuration allows administrators to schedule automatic purges, which can be especially useful in high-activity environments where log data accumulates quickly. Purging these logs helps maintain a cleaner and more efficient system.