139La nuclear quadrupole resonance measurements in lightly doped La2Cu1-xLixO4 have been performed to reveal the dependence of the magnetic properties of the antiferromagnetic CuO2 planes on the character of the doped holes and their interactions with the dopant. A detailed study shows that the magnetic properties are remarkably insensitive to the character of the dopant impurity. This indicates that the added holes form previously unrecognized collective structures. © 1998 The American Physical Society.