How come applications are suddenly missing? (but strangely, they reappear)

This is so weird. This happened to me before, one of my apps went missing. I couldn't find it anywhere I search for it so I thought I accidentally deleted it. I did not install it again but surprisingly it came back the next day. Note : this is an app I used to open everyday

Today my Logic Pro X is missing. I use it everyday as well. Now I can't find it, so I used a data recovery software to check if I accidentally erased it. I could see lots of files that I deleted way before my app went missing, so that probably means I did not accidentally erase it. Also, the system files in the library folder are still there. But when I try to open a Logic Pro document I can't open it, instead terminal opens.

One weird thing though. A few days ago the time on the clock of my Mac changed. It was hours different from the actual time. But today, same day my Logic Pro disappeared, my clock changed back to the correct time.


Has this occurred to anyone here? Is there a way to fix this? I don't have Time Machine enables so I guess that's not an option.
I hope my app returns tomorrow though.

Thanks!

Okay so the app that I mentioned that was missing in this thread eventually appeared hours after i posted this. (i had to do a few restarts)

Now (a few days later), it's gone again. I'll try what you suggested. Thanks for your answers