You can't remove adverse marks
If you were previously late, you cannot remove that mark merely by paying off the debt. This constantly blind-sides people with old debt: they think they can pay the debt and remove the mark. That would be extortion, and that's not what credit reports are for.
However, creditors almost never report lateness less than 30 days late, and sometimes longer.
Also, the creditor can remove the adverse mark simply by not reporting it anymore. They won't do that easily! You can convince them to stop if you give them a good reason to do so, and make a written agreement to that effect. This is not easy, but I've done it. Much easier if you still owe money on the debt, because you can include "no credit reporting" as a term of settlement. I've even included "no IRS reporting (1099)" as a condition, but that was when a debt was truly disputable.
You don't need to remove non-adverse marks
There really isn't any motivation to remove an "Account closed / paid on time" mark. These are 100% routine, and may mean nothing more than that you shopped at a store which later had a PCI-DSS data breach. Obviously those are not your fault and nobody scores those against you.
In fact, past successful credit history is very valuable. Creditors want to see a lush activity of borrowing and paying on-time/in-full, not a "blank slate". Wiping out positive past credit history is like deleting relevant work history off your resumé - it would be an act of madness.
If you really feel the need to remove it, probably the best place to start would be the creditor itself - ask them to stop reporting it to the bureaus.