"Two and a Half Men" is not a CW program. It is carried in Phoenix by the CW affiliate, KASW, via syndication.
"Outside of the CW network schedule, Syndicated programming featured on KASW includes Two and a Half Men, Judge Mathis, Lauren Lake's Paternity Court, The Simpsons, and Friends among others. "
And...
"Two and a Half Men entered local United States broadcast syndication in 2007, with the first four seasons available to local stations (largely CW affiliates in the major U.S. television markets through major deals with Tribune Broadcasting and the Sinclair Broadcast Group).[70] On September 6, 2010, FX began airing the series daily nationwide. Syndicated shows are sold in multiyear cycles, with the first cycle the most expensive."
Most of the programming of CW affiliates is local or syndicated, and does not come from the network:
"The network currently runs programming six days a week: airing Monday through Fridays in the afternoon and in prime time, along with a Saturday morning live-action educational programming block"
CW provides 2 hours of prime, as opposed to the three on the other significant OTA networks. The primary target of CW is women 18-34.