  Like light, gravitational waves can be gravitationally lensed by massive
astrophysical objects. For galaxy and galaxy-cluster lenses, one expects to see
strong lensing -- forecasted to become observable in the coming years -- where
the original wave is split into multiple copies with the same frequency
evolution but different overall arrival times, phases, amplitudes, and signal
strengths. Some of these images can be below the detection threshold and
require targeted search methods, based on tailor-made template banks. These
searches can be made more sensitive by using our knowledge of the typical
distribution and morphology of lenses to predict the time delay, magnification,
and image-type ordering of the lensed images. Here, we show that when a subset
of the images is super-threshold, they can be used to construct a more
constrained prediction of the arrival time of the remaining signals, enhancing
our ability to identify lensing candidate signals. Our suggested method
effectively reduces the list of triggers requiring follow-up and generally
re-ranks the genuine counterpart higher in the lensing candidate list.
Therefore, in the future, if one observes two or three lensed images, the
information they provide can be used to identify their sub-threshold
counterparts, thus allowing identification of additional lensed images. Finding
such images would also strengthen our evidence for the event being lensed.
