Miscarriage

Just wondering if anyone knows if it's possible to ovulate with hcg levels still in your body ? I had an ectopic pregnancy in January and they didn't monitor my levels of hcg at all afterwards. 
AF came on time two weeks after surgery and then I tested positive for LH surge on schedule on Feb 4 
​I'm thinking if I take a pregnancy test at the end of the week if it's possible it will detect left hcg from the ectopic .. 
​So basically my question is can you ovulate with hcg still in your system? 
​Any thoughts is greatly appreciated :)