keep up with
idiom
1
                    
                                          
              
          
                                                      : to go or make progress at the same rate as (others) : to stay even with (others) in a race, competition, etc.                                      
              
                             
The other runners struggled to keep up with the leader.
                                       He found it difficult to keep up with the rest of the class.
                         
                
                    2
                    
                                          
              
          
                                                      : to continue to know the newest information about (something)                                      
              
                             
I find it hard to keep up with the news.
                         
                
                    3
                    
                                informal 
                                  
              
          
                                                      : to continue to talk to or write to (someone)                                      
              
                             
She still keeps up with her old friends from college.
                         
                
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  Merriam-Webster unabridged




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