This article reacts against the undesirable ideological separation between dialectical and rhetorical approaches to argumentative discourse. It argues that a sound evaluation of argumentation requires an analysis that reveals all aspects of the discourse pertinent to critical testing. To explain the rationale of the various moves made in the discourse and the strategic patterns behind them, not only the interlocutors' dialectical goals must be taken into account, but also their rhetorical goals. After explaining how rhetorical insight can be instrumental in deepening and justifying a dialectical analysis, an integrated analysis is made of the rhetorical strategies that are brought to bear in an advertorial published by the oil company Shell.