None of the following fics contains an abusive relationship 

Slave!Louis:

I Hunger For Your Beautiful Embrace

wait for me to come Home. (Kinda? Not really though)

Slave!Harry:

i could marry that smile you’re wearing

Unchain My Heart (Baby, Set Me Free)

Please let me know if I missed some kind of abusive relationship between Louis and Harry. I really tried to be careful but maybe I was wrong since I didn’t actually read any of them beside the bold one (which is brilliant might I add).