in sympathy (with something)
In tandem with something; at the same time as and because of something. The data clearly shows that rates of depression rise in sympathy with rates of unemployment. The European stock market suffered another day of large losses in sympathy with concerns of rising interest rates in the US.
in ˈsympathy with something
(written) happening because something else has happened: Share prices slipped again today, in sympathy with the German market.