We present jointly analyzed data from three deep Suzaku observations of NGC 1365 . These high signal-to-noise spectra enable us to examine the nature of this variable , obscured AGN in unprecedented detail on timescales ranging from hours to years . We find that , in addition to the power-law continuum and absorption from ionized gas seen in most AGN , inner disk reflection and variable absorption from neutral gas within the Broad Emission Line Region are both necessary components in all three observations . We confirm the clumpy nature of the cold absorbing gas , though we note that occultations of the inner disk and corona are much more pronounced in the high-flux state ( 2008 ) than in the low-flux state ( 2010 ) of the source . The onset and duration of the “ dips ” in the X-ray light curve in 2010 are both significantly longer than in 2008 , however , indicating that either the distance to the gas from the black hole is larger , or that the nature of the gas has changed between epochs . We also note significant variations in the power-law flux over timescales similar to the cold absorber , both within and between the three observations . The warm absorber does not vary significantly within observations , but does show variations in column density of a factor of \geq 10 on timescales \leq 2 weeks that seem unrelated to the changes in the continuum , reflection or cold absorber . By assuming a uniform iron abundance for the reflection and absorption , we have also established that { Fe / solar } = 3.5 ^ { +0.3 } _ { -0.1 } is sufficient to model the broad-band spectrum without invoking an additional partial-covering absorber . Such a measurement is consistent with previous published constraints from the 2008 Suzaku observation alone , and with results from other Seyfert AGN in the literature .