Sorry I am not sure what specific question you are asking. What I can do is give you some general information about STI test results and how long they usually take to come back.
I find with the STI testing we do, test results generally come back within 2 weeks. If someone had a positive STI result and the clinic/public health had some way to contact you, they would try and get in touch with you about the positive test.
It is also normal practice for most clinics to only contact you if there is a positive result. You just need to make sure your phone number and email is up to date at your testing clinic.
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