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This is a case of a term that was until recently specific but is now becoming a more general term.
While planets orbiting other stars has been talked about for centuries, it is only in the past few decades that we have been able to confirm their existence.
So, up until then Solar system was a term that described our solar system as it was the only one known to exist.
There’s only one solar system in the universe as it is the system of Sol (the Sun), our local star.
Other terms such as solar mass, solar wind, solar nebula, solar atmosphere, and solar flare likewise relate to Sol.