Usage patterns
政務に専念するto devote oneself to official government duties
The minister is refraining from other activities in order to devote himself to official duties.
政務が滞るfor government affairs to stall or fall behind
Government affairs have stalled due to the long recess.
〈人〉が政務を担当するfor someone to be in charge of government affairs
The new deputy minister has been put in charge of government affairs.
Expressions
政務を執るadminister affairs of state; attend to government affairs 政務を見るadminister affairs of state; attend to government affairs