Although Video Edit Magic is more suited to export video files from its projects (.mpj), it also supports export of pure audio tracks in forms of .mp3 audio files. It doesn't seem likely that any software is capable of working with .mpj projects, as these are usually bound to the original software.
Convert Video Edit Magic project to Compressed audio and music file, mp3 songs or ringtones.
We have found one software suitable in our database for this conversion.
Microsoft Windows software - convert mpj to mp3 on Windows
A video editting software
Convert from mpj file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.