It is concluded that faint members found in the vicinities of compact group
s (CGs) are gravitationally bound with corresponding groups. All members of
CGs, faint and bright, move preferentially in the direction of the elongat
ion of the group. We suppose that the number of faint members may be much l
arger than previously assumed. These two circumstances should apparently ch
ange the conclusion about the short lifetime of CGs. Consequently, many puz
zles related to CGs, such as their very existence, the absence of strong ra
dio and infrared sources, and the absence of strong signs of interaction an
d merging will probably vanish.