Local coherence is a phenomenon in human sentence processing whereby word sequences within a sentence incur processing difficulty when they have a plausible reading different from their true syntactic structure as disambiguated by the global context. Prior research (Tabor, Galantucci, & Richardson, 2003) indicates that more plausible substrings incur more processing difficulty than less plausible ones. In the current article, we challenge this view by providing evidence from two experiments which show that local semantic plausibility can actually facilitate processing. We additionally test whether syntactic statistics can modulate local coherence effects, a prediction made by Lossy-Context Surprisal (LCS; Futrell, Levy, & Gibson, 2020; Hahn, Futrell, Levy, & Gibson, 2022). Although we do not find evidence for effects of syntactic statistics, our overall results cannot be fully explained by any existing account of local coherence alone. We discuss implications for theories of sentence processing.