The words "problem" and "develop" doesn't seem like a great match, but are they used together often?

Native speaker’s answer
Rebecca
Yes, they're actually used quite often together to describe the process of problems/issues arising (developing). Problems can arise or become bigger, so "develop" (and "grow," "increase," etc.) can be used as well. Ex: This inflation problem is developing into a huge issue. Ex: Let's see how things develop. This problem doesn't look like it will go away by itself.