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There is more than one effect that leads to changes in climate. A climate model must factor in all of these. Effects can dominate other effects, and such modelling is extremely difficult. The point is that one can only properly account for the current warming with the inclusion of Greenhouse Gases released since the industrial revolution. Note the qualifier in the statement. Tectonic time scales are not 10 to 30 years. For a more clear point CO2 is an efficient re-radiator of infrared radiation. One simply performs a shell integration over the atmosphere, and it becomes clear that the net radiated away from the earth decreases, as the amount of CO2 is increased.