Fetching details from the dictionary...

to be involved (in); to get involved (in); to concern oneself (with); to take part (in); to interfere (in)
to relate to (a matter); to pertain to; to concern; to have to do with
to (seriously) affect; to concern; to have a serious bearing (on)
to stick (to); to adhere (to); to be particular (about)
この仕事は人の命に関わる重要なものだ。
This work is critical because it involves people's lives.
彼は長年教育に関わる研究を続けてきた。
He has continued research related to education for many years.
環境問題に関わる活動に参加している。
I am participating in activities related to environmental issues.