encroach
🇺🇸
/ɪnˈkrəʊtʃ/
🇬🇧
/ɪnˈkrəʊtʃ/
to gradually take over or infringe upon (someone's rights, space, or privacy)
He never allows work to encroach upon his family life.
to spread into an area gradually and without permission
The growing town soon encroached on the surrounding countryside.