Okay so I may have found the solution. I found this video that explained that the reason it would not work was because the file "Game" was missing the executable file it needed to launch the game. After running a certain command in my Terminal, I was finally able to launch the game, but now, nothing shows up. The game is apparently running, as I see it open on my desktop, but there is nothing to interact with. Here is the video I found. This video shows the problem I had before, but not the new problem. https://www.youtube.com/watch?v=i9TtoOJjGpU
Oh, no need to pick up rpg maker mv. Lust doll plus is made in rpg maker mv, so the solutions that apply to that program should theoretically work for LD+. Glad you could get it running, but oof at the new problem.
One other possibility is to just play the browser version, though you'll have to be very careful about not clearing your cache (which is where your save would be contained) https://www.newgrounds.com/portal/view/732699
I usually do use the browser version, but I wanted to try to download it. One thing I notice that is different is that in the video I linked there are two files in the MacOS folder, but seeing as how this issue is limited to few macs, I would assume that isn't the problem, but I wouldn't put it out of the question, so perhaps it's the lack of a Launcher.dat file or something. But here is to hoping that I can find a solution to this new problem as well. Thank you for helping out!