I assume they're not very strictly regulated there, then?
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The short answer is that they are pretty much as strictly regulated as the rifles you put them on are.
You need to file the same paperwork as you do on a new rifle, you go through the same waiting time (usually between 3-12 weeks). Needless to say there are more legal stuff but I wont fill the page with it.
One interesting thing is that around Sweden there are more and more gun ranges closing down, some because of complaints of high noise and "noise pollution". Imagine that, there are actually noise coming from a gun range (!).
One of the most recent ones is a gun range close to where my parents live. That gun range has been around for about 100-years as it is an old army facility. During the last 5 years or so, more and more houses has been built in that area, and they are getting closer and closer to the range.
You would imagine that if you buy a house that is in close proximity to a gunrange that has been around since the turn of the 19th century, you know and accept that there indeed will be some noise from the shooting done there 2-3 times a week. You would think that.
In reality, more than a few of the people who bought houses there has filed official complaint at the city council and now the range has been ordered to close down.
To relate this to suppressors, there has been suggestions and ideas floating around that suppressors should be mandatory for gun ranges.
Everyone would be a winner for it, less noise (and recoil) for the shooters and less noise pollution for people to worry their little minds about.