Residual HIV-1 replication reemerges after intensive therapy from location or locations in the body called the drug resistant non-plasma viral reservoir. Methods are disclosed of treating HIV by inhibiting or blocking this reemergence with various monomeric therapeutic peptide compositions including monomeric DAPTA prepared in least 80% trifluoroethanol, with vigorous shaking for at least about 24 hours at about 37° C.