The phrase "achieve virtue" is correct and can be used in written English.
This phrase is usually used to suggest that someone has reached a high moral standard or goal. For example, you could say, "Despite his troubles, he was determined to achieve virtue and be an example to others."
Once they achieve virtue they do virtuous things.
Perfect happiness comes, however, not through men's own efforts to achieve virtue but only through the grace of God.
According to the first position, the only thing needed to achieve virtue is to immerse oneself in the core tenets of Stoic philosophy.
Without a faculty of reason that is already perfected, on her view, we cannot only not achieve virtue, we also cannot rest content.
And just as the success and failure of human societies to achieve order depends not on nature but on the Ways they adopt, the success and failure of individuals to achieve virtue depends not on their natural endowment, but on how they exert their capacities for artifice.
People often associate asceticism with religious zealots and extremists who use fasting, physical punishment, and other forms of bodily penance to achieve virtue.
So non-human animals are incapable of achieving virtue (C 175).
Second-order temporal accuracy is achieved by virtue of a multidimensional unsplit time integration scheme.
Then, the coating of organo-silica/PS composite particles with PANi was achieved by virtue of the "Swelling Diffusion–Interfacial-Polymerization Method" (SDIPM).
At ID31, heating was achieved by virtue of two Cyberstar hot air blowers heating each side of the catalytic reactor while at ID15A a furnace designed for CT experiments was used.
A tremendous enhancement of the electrode activity towards the electrooxidation of UA was achieved by virtue of the simple modification of the Au (poly) electrode surface with a neutral iodine-adlayer, fabricated in situ through the spontaneous oxidative chemisorption of iodide present in the sample solution.
