1. To persist for a long time, as of a significant issue or problem. The problems between them go deep, so I doubt they'll be reconciling any time soon.
2. slang In American football, for a receiver to run down the field in order to catch a long pass. Often used as an imperative. Jackson, run a slant. Williams, you go deep.
To be well established and strongly integrated into the nature or character of something. In this part of the country, college basketball rivalries run deep. Among that demographic, loyalty to the party runs deep, so I don't think you'll find many undecided voters.
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.
COMMON If something such as a feeling, emotion, or problem runs deep or goes deep, it is very serious or strong, often because it has existed for a long time. My allegiance to Kendall and his company ran deep. Hatred of the army runs deep, and most here have come to side with the rebels. His anger and anguish clearly went deep.
Collins COBUILD Idioms Dictionary, 3rd ed. © HarperCollins Publishers 2012
go/run ˈdeep(of emotions, beliefs, etc.) be felt in a strong way, especially for a long time: Dignity and pride run deep in this community.
Farlex Partner Idioms Dictionary © Farlex 2017