This is the 1781st most frequent Russian word.
ими
The word "ими" in Russian means "with them" or "by them" (instrumental case of "они").
The word 'ими' is used to refer to 'tools' as the object that 'they are satisfied with', functioning in instrumental case.
Они выбрали подходящие инструменты и довольны ими.
They chose suitable tools and are satisfied with them.
The word 'ими' refers to 'toys' in this sentence, indicating the cause of captivation or involvement, also functioning in instrumental case.
Дети играли с игрушками, увлечённые ими.
The children were playing with the toys, captivated by them.
Here, 'ими' refers to 'them', indicating the initiators of the action 'proposed', functioning as the agent in instrumental case.