The inner screw of the mount is M44. Miranda (Soligor) lenses with pre-set diaphragms use this as do accessories such as extension tubes etc.
The outer bayonet mount can take the 'Auto Miranda' lenses with automatic diaphragm but the model D has no mechanism to operate the diaphragm.
The D was originally sold with a pre-set lens or a PAD which has an arm out to the shutter release and is stopped down through this. (Like Exactas).
There are adaptors to mount M42, Leica etc lenses, some of which are bayonet, some fit the M44 screw.
Miranda claimed that their camera body was slimmer than others so allowed the thickness of adaptors for almost any lens.
I have a large collection of Mirandas. If you need any literature etc, please let me know.