So many things affect export time, some of which have been mentioned above. Two others I’d like to add are whether you’re exporting using hardware or software encoding, and whether you have GPU effects enabled in your Shotcut settings.
Hardware encoding is typically much faster than software, not just because dedicated hardware is faster but also because it means the CPU only has to do one processing-intensive task (all the stuff involved in taking your source files and mashing them together to make a video) instead of two (that, plus compressing the video). I haven’t looked up your GPU’s specs, but it would surely support acceleration for AVC and HEVC; it probably doesn’t accelerate AV1. If you’re not using hardware encoding, it’s worth trying. One word of warning: GPU hardware encoders are typically optimized for speed, not compression ratio, so at a comparable visual quality they’ll usually produce larger files.
As for GPU effects, well, like you I’m using my CPU’s built-in GPU, which is weak as GPUs go, and I’ve found that exporting a GPU-enabled project from Shotcut is significantly slower than exporting a non-GPU-enabled project. For a typically project I would do, non-GPU typically exports faster than real time. A 10-minute project might take 5-7 minutes to export. If I enable GPU effects, make a similar project, and export it, it exports at about half real time, so that project would take more like 20 minutes to export*.
Hmm … one other thing based on what you and Austin wrote. If these videos are to be uploaded to Youtube, do you need the logo to be part of the video itself? Youtube lets you customize your channel with a logo that can optionally be superimposed throughout the entire video. I don’t believe you get to choose the size or position, and it applies to all videos on your channel, so it may not work for you, but if you can live with the way Youtube does logos, that could eliminate that one track.
*: You and I have different hardware and our projects are different, so I mention the speeds I get not as a comparison to yours but as a comparison against each other, to show that different settings on identical hardware with similar projects can make a big difference. As they say, your mileage may vary.