MANY landlords use a rental scan service on potential tennants. Part of that service checks to see if a previous landlord ever filed for an eviction on you. Here in Minneapolis, it is common practice for landlords to file on you once you are 5 days late on your rent. If you pay, they just don't carry though with it. However, just the act of them filing on you is public record and shows up on these rental scans. It doesn't normally show up on a credit report unless they actually sue you for monies owed but it does show up on the search these firms use.
I had a roommate about 12 years ago that took my part of the rent on the 1st and didn't tell me she didn't have her half. I got an eviction notice in the mail on the 15th of the month. I went down and took care of the rent and all that but the fact that they even filed showed up on the rental search every time I applied for an apartment for 7 years. Fortunately, my subsequent landlords believed my story when I explained it to them.