Well, my friend, Logic isn't Final Cut Pro. If it's any consolation I don't know what I'm doing with video and find Final Cut Pro massively confusing and frustrating. Coming up from an analogue studio (yes I'm old) I found Logic to be pretty easy from the Mixer page. The inserts are slots (like the ones I pointed out above) whereas they are physical input and output jacks on a mixing console but it was the same principle. As was the busses, aux and groups. So it translated quite easily for me.
There was, of course, a learning curve but an evening with the manual answered most basic questions. This was many years ago.
Logic does come with stock plug-ins for great recording, mixing amd production. Using techniques you learn as an engineer can help with clean up, like side-chaining a compressor with an eq for example. Used to do this in the analogue world and it's easy to do in Logic. It does have the ability to clean up audio but It's more to do with engineering techniques though. Any of the specialised 3rd party plugs that focus in on clean up like Izotopes RX work in all DAWs including Audacity. None of the most popular DAWs specialise in cleanup but there's always things you can do depending on the state of the audio and engineering skills.
What musical, recording, mixing, engineering terminaologies are you having trouble with in Logic? Maybe we can help. Lot's of users here with lots of experience always willing to help.