in the long run
(idiomatic) After a very long time; eventually; over a long period of time; more generally.
I like to believe that people in the long run are going to do more to promote peace than our governments. Indeed, I think that people want peace so much that one of these days governments had better get out of the way and let them have it. Dwight D. Eisenhower
Long run is a misleading guide to current affairs. In the long run we are all dead. John Maynard Keynes
Security is mostly a superstition. It does not exist in nature, nor do the children of men as a whole experience it. Avoiding danger is no safer in the long run than outright exposure. Life is either a daring adventure, or nothing. Helen Keller
An appeal to the reason of the people has never been known to fail in the long run. James Russell Lowell
In the long run even a dog will compromise with the cat. Hungarian Proverb
In the long run we are all dead. English Proverb