High pressure torsion (HPT) of Cu-based alloys leads to the (1) grain refinement and (2) dynamic equilibrium between precipitation and dissolution of precipitates with a certain concentration in solid solution css. If the concentration in initial sample ci is below css, it increases to css during HPT. If ci > css, it decreases to css during HPT. It has been shown earlier that css ≈ 3.0 wt. % Ag for Cu–Ag alloys and css ≈ 2.5 wt. % Co for Cu–Co alloys. We measured lattice parameter a in two Cu–Ag and two Cu–Co alloys before and after HPT using X-rays diffraction. They contained 2.0 and 8.0 wt. % Ag and 2.0 and 5.0 wt. % Co. It means, that the total concentration was either below (2.0 wt. % Ag and 2.0 wt. % Co) or above (8.0 wt. % Ag and 5.0 wt. % Co) of respective css. The alloys with 2.0 wt. % Ag and 2.0 wt. % Co were homogenized and contained only Cu-based solid solution. The alloys with 8.0 wt. % Ag and 5.0 wt. % Co were annealed in such a way that they contained the Cu-based solid solution with ci ≈ 2.0 wt. % Ag or ci ≈ 2.0 wt. % Co as well as Ag or Co precipitates, respectively. During HPT, Cu or Co precipitates partly dissolved and concentration in solid solutions increased from ci to css. However, if Cu or Co precipitates are absent, ci decreased. It is because Ag and Co strongly segregates in Cu/Cu grain boundaries (GBs). The grain refinement during HPT leads to the formation of new GB segregation layers which soak (consume) the Ag or Co from solid solution. The thickness of GB segregation layers was estimated.