The company is flogging their new drink by plastering ads all over the subway stations.

flogging 是动词 flog 的现在进行时形式。flog 的本义是"鞭打、抽打"，在商业用语中引申为"大力推销、过度营销"，常带有贬义，暗示推销手段过于激进或频繁。