We study a full causal bulk viscous cosmological model with flat FRW
symmetries and where the constants'' $G,c$ and $\Lambda $ vary. We take into account the possible effects of a $c-$variable into the curvature tensor in order to outline the field equations. Using the Lie method we find the possible forms of the constants’’ and that make integrable the field equations
as well as the equation of state for the viscous parameter. It is found that
and follow a power law solution verifying the relationship
Once these possible forms have been obtained we calculate
the thermodynamical quantities of the model in order to determine the possible
values of the parameters that govern the quantities, finding that only a
growing and are possible while behaves as a negative
decreasing function.

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