Well, if its the polished part of your watch, then you are probably in luck. If they are very fine scratches, then you might be able to 'cover' them or polish them out with a suitable polish and a clean polishing cloth.
Depends on how much time and energy you want to expend, as some scratches take on a life of there own. Sometimes, careful use of a rotary polishing machine can come in handy to speed up the process, but only if you are experienced with removing scratches. Don't do that if you have never attempted scratch removal before or polished anything with a machine. Stick to hand polishing first and see how you go.
Deep scratches take more time and need more elbow grease to get them to appear removed or be actually removed. Sometimes, I find that what I am doing on deep scratches is removing the usually jagged edge of a scratch and smoothing it down to attain a similar finish to the rest of the case, etc. In that situation they are less noticeable, but not entirely removed.
Most here use Cape Cod as a first line defence in scratch removal but I have never used the product, even though I have some sitting on my workshop shelf. I always use Pinnacle or Metallux creame. Pinnacle brushed creame is also outstanding for brushed surfaces too.
The real test is to use a polishing cloth without any polish, as on fine scratches this can work as well. My Navi World is a testament to that method.
