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Is it possible to add the equations in one or more models together to get one large model? For example, if MOD1 contains one set of equations and MOD2 another can you do something like:

MOD3 = MOD1+MOD2

If so, what happens if one or more equations appear in more than one model?

You can add one model to another model, in the same way you can add an equation to a model.

I don't know for certain, but I would guess that it will error if the same equation is included twice.

is that by using:

model mod3
mod3.merge mod1
mode3.merge mod2

Yep.