Which says
When aligned to viral load courses, it seems there is no abrupt virus elimination at the time of seroconversion. Rather, seroconversion early in week 2 coincides with a slow but steady decline of sputum viral load.
Which means (I think)
you get better around 2 weeks after infection and the viral load decreases steadily from this point.
So you might still have virus in your discharge a bit after "you feel better"/ your body starts producing antibodies against the virus.
You're also able to spread it if it's on a surface and you touch it and then you move it somewhere.
This is a preprint
And it's only of 9 patients (so not very strong)
https://www.medrxiv.org/content/10.1101/2020.03.05.20030502v1.full.pdf
Which says
When aligned to viral load courses, it seems there is no abrupt virus elimination at the time of seroconversion. Rather, seroconversion early in week 2 coincides with a slow but steady decline of sputum viral load.
Which means (I think)
you get better around 2 weeks after infection and the viral load decreases steadily from this point.
So you might still have virus in your discharge a bit after "you feel better"/ your body starts producing antibodies against the virus.
You're also able to spread it if it's on a surface and you touch it and then you move it somewhere.