I have come across these words. I tried to look them up in dictionaries but they don't mean what I thought.

В современном мире всё завязано на гаджетах и технологиях -> all is based on или all is about?

Если вы готовы сделать первый шаг к примирению, придерживайтесь нескольких простых правил -> Dictionaries read to hold something, but does this word exist in meaning to follow (rules)?