  The tangential shear signal receives contributions from physical scales in
the galaxy-matter correlation function well below the transverse scale at which
it is measured. Since small scales are difficult to model, this non-locality
has generally required stringent scale cuts or new statistics for cosmological
analyses. Using the fact that uncertainty in these contributions corresponds to
an uncertainty in the enclosed projected mass around the lens, we provide an
analytic marginalization scheme to account for this. Our approach enables the
inclusion of measurements on smaller scales without requiring numerical
sampling over extra free parameters. We extend the analytic marginalization
formalism to retain cosmographic ("shear-ratio") information from small-scale
measurements that would otherwise be removed due to modeling uncertainties,
again without requiring the addition of extra sampling parameters. We test the
methodology using simulated likelihood analysis of a DES Year 5-like
galaxy-galaxy lensing and galaxy clustering datavector. We demonstrate that we
can remove parameter biases due to the presence of an un-modeled 1-halo
contamination of the galaxy-galaxy lensing signal, and use the shear-ratio
information on small scales to improve cosmological parameter constraints.
