  Ag$_3$LiIr$_2$O$_6$ is a Kitaev spin liquid candidate material synthesised
from $\alpha$-Li$_2$IrO$_3$ through a topotactic reaction. We investigate the
structural and magnetic properties of two samples of Ag$_3$LiIr$_2$O$_6$ based
on $^7$Li nuclear magnetic resonance line shape, Knight shift and spin-lattice
relaxation rate $1/T_1$. The first sample A shows signatures of magnetically
ordered spins, and exhibits one sharp $^7$Li peak with FWHM increasing
significantly below 14~K. $1/T_1$ of this sample displays a broad local maximum
at 40~K, followed by a very sharp divergent behaviour at $T_N = 9\pm1$~K when
bulk magnetic long range order sets in. In order to investigate the influence
of structural disorder, we compare these NMR results for a second sample B,
which has been shown by transmission electron microscope to have unwanted Ag
inclusion at Li and Ir sites within the Ir honeycomb planes. The sample B
displays an additional NMR peak with relative intensity of $\sim 17\%$. The
small Knight shift and $1/T_1$ of these defect-induced $^7$Li sites suggest
that Ir spins in their vicinity become only weakly magnetic at low
temperatures, leading to an apparent spin liquid like behaviour. We use
numerical Inverse Laplace Transform $T_1$ (ILTT1) analysis based on Tikhonov
regularization to determine the distribution of $1/T_1$ and compare the results
between the two samples.
