You’re mistaken, The labor force participation rate is calculated as: (Labor Force ÷ Civilian Noninstitutional Population) x 100 The civilian noninstitutional population excludes the following: active duty members of the U.S. Armed Forces people confined to, or living in, institutions or facilities such as prisons, jails, and other correctional institutions and detention centers residential care facilities such as skilled nursing homes Included in the civilian noninstitutional population are citizens of foreign countries who reside in the United States but do not live on the premises of an embassy. The civilian non institutionalized population does not exclude people not looking for work nor non institutionalized elderly/retired persons

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In addition to these persons included in the denominator, active duty military are not included in the labor force, which adds a group of individuals to the numerator- ie- the idea that 37% of the working age population just isn’t is misleading