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The problem is there isn't an easy solution to this.

I would say she is far from unmotivated, it's just that her job is extremely demanding. She gets upset because she realizes it, but there probably isn't much she can change work-wise besides finding another job.

My own job is pretty stressful, but after I leave for the day my job is pretty much done, which helps me relax. My previous job had a similar schedule to hers and I had to quit. I got migraines every 2 days, long hours, low sleep, I would come home and pretty much do nothing. It started impacting my health. Going to the gym helped, but after a 12 hour day and an hour long commute the last thing I wanted to do was work out.

It's all in how you present the issue to her. If you get upset with her, it looks like you are pointing fingers and blaming her, which will no doubt turn into an argument. Approach it from a positive angle. Say that you notice her job is putting a lot of strain on her, and that you notice a change in how happy or stressed she is and you are concerned. Word it in a way that sounds like you feel she could do better job-wise and find a company that deserves her work ethic and treats her right, and maybe that will encourage her to find something else.