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We present three parameters exact solutions with possible black holes in $%2+1-$dimensional $f\left( R\right) =R^{n}$ modified gravity coupled minimallyto a cloud of strings. These three parameters are $n,$ the cloud of stringcoupling constant $\xi $ and an integration constant $C$. Although in generalone has to consider each set of parameters separately; for $n$ an even integergreater than one we give a unified picture providing black holes. For $n\geq 1$we analyze null / timelike geodesic within the context of particle confinement.

Cloud of strings as source in $2+1$-dimensional $f( R) = R^n$ gravity