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Comment on "Precise half-life values for two-neutrino double beta decay"

The results by A.S. Barabash [Phys. Rev. {\bf C 81}, 035501 (2010)] are shown to be incomplete. Tellurium data sets were reanalyzed using the best practices of ENSDF evaluations. Present analysis indicates much higher value for the 2$ν$-mode half-life time in $^{128}$Te and the corresponding ratio of $^{128,130}$Te half-lives. These values imply the $T^{2 ν}_{1/2}$ $\sim$ $\frac{1}{E^{8}}$ $ββ$-decay transition energy trend that is consistent with the two-nucleon mechanism of $ββ$(2$ν$)-decay.