I've done an online job interview on Aug 27 for a job in the medical field in Switzerland. I think I did a good impression and the interviewers told me they would update me in a month or so. I've heard from some friends who applied for similar positions that they would send an email clearly stating if you're granted or not the job. I still haven't received any update since the interview day.

Luckily enough I'm in a field with a lot of job opportunities, however the one I'm describing is my first choice. I'm under a lot of pressure from other companies to accept to work for them: in particular, if I'm not getting the job in Switzerland I would like to accept another job in an EU country but their offer will expire soon, since they want me to sign the contract as soon as possible (and I'm already trying to procrastinate).

First of all, it seems strange to me not having heard from them in almost 45 days, especially because we are talking about Switzerland. Is it a good idea/considered polite to write a follow up email asking for update? Also, since I would really love this opportunity I would add a short paragraph stating my motivation to work for them (maybe they haven't took a decision yet and they could appreciate)?

In my mind "a month or so" means "in less than 2 months", so I'm planning to write an email at 50 days from the interview day. Also I feel obliged to do so since it's not fair to keep waiting the other companies for long.