the example you have quoted is probably not a complete sentence, all because of the role of 가지고. Normally as a simple verb 가지고 means to possess something but here it serves as a complementary verb to qualify the preceding verb (like the role of 두다,놓다). It basically forms a kind of connective between a preceding event and an aftermath. If you have ever come across the pattern 어/아서 before it works very similarly to that. worth knowing it.

급한 일이 means urgent and pressing task, business, duties work 급한 일이 생겨 가지고 means i have urgent task, duties foming