attach itself to, stick, stick to, adhere, adhere to; be connected with / come in contact with, touch, reach / be attached to, belong to, join, associate with; take up the cause of

gain / become

keep close to, stick to; follow; go out with

cling to

can imagine, can guess

come cheaper

(idiomatic) take root, strike root

catch one's eye, attract one's attention

come to terms, reach agreement

catch fire, be ignited