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Unobserved-components models (UCMs) decompose a time series into trend, seasonal, cyclical, and idiosyncratic components and allow for exogenous variables.
I would read the helpfile and the manual entry. How one decomposes the series into components will depend on your data. Keep in mind there are a number of different types of trend: random trends, smooth trends, local trends, deterministic trends, or stochastic trends.
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