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We focus on two cases: (i) $\\zeta_{1} \\neq0$ and (ii) $\\zeta_{1} =0$, deriving the Hubble parameter $H$ as a function of redshift $z$ using a linear $f(T)$ model ($f(T) = \\alpha T$ where $\\alpha \\neq 0$). Using the combined $H(z)+Pantheon^{+}+BAO$ dataset, we obtain observational constraints on model parameters. 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