established vs long-established

established

adj
  • Having been in existence for a long time and therefore recognized and generally accepted. 

  • Explicitly defined, described or recognized as a reference. 

  • Of a religion, church etc.: formally recognized by a state as being official within that area. 

long-established

adj
  • That has been in existence for a long time. 

How often have the words established and long-established occurred in a corpus of books? (source: Google Ngram Viewer )