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This paper aims to analyze the relationship between agricultural methane and nitrous oxide emissions as a function of per capita gross domestic product (GDP) and its quadratic term in 26 Latin American and Caribbean countries (1990-2019). It also considers the stock of foreign investment to test the polluting paradise hypothesis, agricultural land (AL), and, additionally, methane for nitrous function. The study comprised unit root and cointegration tests. Coefficients were estimated by using fully modified least squares (FMOLS), correlated common effects (CCE), and augmented mean group (AMG). Results by FMOLS show statistical evidence of an environmental Kuznets curve in the set of countries for methane and support the polluting paradise hypothesis. However, results from CCE and AMG show the opposite. For nitrous oxide, FMOLS confirms a U-shaped curve. The above supports a joint environmental policy for both gases, where AL is a key element. The previous results must be corroborated with other methods and the studies extended to other countries over time. [ABSTRACT FROM AUTHOR]