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Nearly two decades of reverberation mapping (RM) studies on nearby AGN have revealed a tight correlation between the size of the Hbeta broad-line region (BLR) and the optical luminosity of the AGN, known the R-L relation. However, recent RM measurements have revealed a systematic offset from the canonical R-L relation. In this talk, I will present my current work on spectral analysis and theoretic photoionization modeling to understand the observed deviations from the R-L relation. This work would provide insight into the AGN accretion activity and photoionization models of the BLR.