Make FindInstance accept only parametrized solutions

I have for example the following conditions:

condition={Subscript[K, 1] <
1 || (Subscript[K, 1] >=
1 && (Subscript[K, 2] < 1 - E^(-2 v1 + v2) ||
Subscript[K, 2] > -E^(-2 v1 + v2) + Subscript[K, 1]))}


Where I consider Subscript[K, 1] and Subscript[K, 2] as unknowns and v1 and v2 as parameters. I would like to fine instances of Subscript[K, 1] and Subscript[K, 2] that satisfy the above condition, and would like such istances to depend on v1 and v2. For example:

{Subscript[K, 1],Subscript[K, 2]}={1,-3-Exp[-2 v1 + v2]}


In other words I would like to find instances that discard cases that do not include the parameters, v1 and v2. I've tried using FindInstance[] as follows:

FindInstance[condition, Array[Subscript[K, #] &, 2]]


Yet it goes for solutions of the first case, that do not include the parameters. How may obtain the desired solutions for this problem? I'm looking for a generic solution to the problem as I wish to apply this to a generic condition depending on parameters.