This is the 2530th most frequent Polish word.
obywatelskich
"Obywatelskich" means "civil" or "citizens'."
The word "obywatelskie" here qualifies "ruchy" (movements), referring to initiatives or actions undertaken by citizens.
Popieram ruchy obywatelskie walczące o równość.
I support civic movements fighting for equality.
In this instance, "obywatelskie" qualifies "obowiązki" (duties), emphasizing responsibilities related to citizenship.
Obywatelskie obowiązki są ważnym elementem społeczeństwa.
Civic duties are an important part of society.
Here, "obywatelskie" describes "organizacje" (organizations), referring to entities composed of or serving citizens.