Provided herein are methods for detecting the presence of replication-competent HIV-1 virus in a subject who is being treated with an intensified highly active anti-retroviral therapy (HAART) regimen. These methods comprise selecting a subject who is being treated with an intensified HAART regimen including an integration inhibitor; obtaining a sample, e.g., a blood sample, from a subject; specifically amplifying a segment spanning two-long terminal repeat (2-LTR) junction of 2-LTR circles using PCR to determine the level of 2-LTR circles in the sample; and determining the presence of replication competent virus based on the level of 2-LTR circles in the sample. These methods can also be used to monitor an intensified HAART regimen by obtaining samples from the same subject at different time points during the HAART treatment, and comparing levels of the 2-LTR circles in those samples.