Should you follow up after submitting a job application?

I am currently applying to jobs via indeed and some other job sites and while some postings through indeed will let me know once my application is viewed, others take me to a company site etc and I have no way of knowing. I've heard both, on one hand following up shows interest and may help you stand out. On the other hand, following up after an application, not an interview, might seem pushy and unnecessary. If the company wants to hire me they will likely reach out to me.

Any advice?

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