Does transcription terminate at the end of antibiotic resistance genes on the Duet expression plasmids?

I am working with the pETDuet and pRSFDuet plasmids to express RNAs under control of the T7 promoter. On these plasmids the antibiotic resistance genes (Amp for pET, and Kan for pRSF) are downstream of the T7 promoter site where I cloned in my genes. The Amp and Kan genes are transcribed in the opposite orientation of the T7 promoter and since these genes are downstream from where I inserted my genes, readthrough transcription from the resistance genes would result in a sequence complementary to the RNA sequence I wish to produce. My question is: do the antibiotic resistance genes in these plasmids have a built in transcription termination mechanism?

I have used the ARNold tool: http://rssf.i2bc.paris-saclay.fr/toolbox/arnold/index.php to look for Rho-independent terminators at the 3′ end of the antibiotic resistance genes and in the region downstream. There was one hit for the pETDuet plasmid but nothing for the pRSFDuet plasmid. There were no hits for the pCDFDuet or pCOLADuet plasmids either. My sense is hairpin terminators were not specifically incorporated to stop transcription downstream of the antibiotic resistance genes. The other possibility is the antibiotic resistance genes terminate in a Rho-dependent manner, is this known to occur for the Amp and Kan genes?