Symptoms
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The following error is returned when customizing the global DNS Configuration at Tools & Settings > DNS Settings: dnsmng failed: dnsmng: Could not start named-checkconf 
 System error 2: No such file or directory
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When manually adjusting the DNS records via Domains > example.com > Hosting and DNS > DNS Settings, upon pressing Update button, Plesk is redirected to Tools & Settings page with the Warning: Permission denied. 
Cause
named-checkconf and named-checkzone are not available in /usr/sbin/.
This has been reported as bug ID PPPM-14510.
Resolution
Update Plesk to version 18.0.62.2 by following this article How to update Plesk Obsidian to the latest build? If for some reason an update is not preferred:
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Connect to the server via SSH 
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Create a symlink: # ln -s /usr/bin/named-checkconf /usr/sbin/named-checkconf 
 # ln -s /usr/bin/named-checkzone /usr/sbin/named-checkzone
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Customize configuration in Tools & Settings > DNS Settings.