  We carried out Chandra observations of two low-luminosity low-mass X-ray
binaries, 1RXS J170854.4-321857 and 1RXS J171824.2-402934, for which previously
single X-ray bursts had been detected with the Wide Field Cameras (WFCs) on
board BeppoSAX. Both were detected in our Chandra observations in an actively
accreting state three to eight years after the X-ray bursts, with 0.5-10 keV
luminosities between 5x10^34 and 2x10^36 erg/s. The apparently persistent
nature is remarkable for 1RXS J171824.2-402934 given its low luminosity of
0.001L_Edd. The persistence of both sources also distinguishes them from 5
other low-L bursters, which have also been seen during bursts with the WFCs but
were not detected during Chandra observations above a luminosity of 10^33
erg/s. Those are probably transient rather than persistent sources.
