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The results by A.S. Barabash [Phys. Rev. {\bf C 81}, 035501 (2010)] are shownto be incomplete. Tellurium data sets were reanalyzed using the best practicesof ENSDF evaluations. Present analysis indicates much higher value for the2$\nu$-mode half-life time in $^{128}$Te and the corresponding ratio of$^{128,130}$Te half-lives. These values imply the $T^{2 \nu}_{1/2}$ $\sim$$\frac{1}{E^{8}}$ $\beta\beta$-decay transition energy trend that is consistentwith the two-nucleon mechanism of $\beta\beta$(2$\nu$)-decay.

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