In a cosmic scale of a few hundred Mega-parsecs, according to the General Relativity (GR) cosmology, the mean number density of massive galaxies (their mass is greater than 11 powers of ten multiplied by solar mass) should be about 0.0072 massive galaxies per cubic Mpc whereas according to the Scale-Symmetric Theory (SST) should be 0.0067. We can see that both results are similar, about 0.007. On the other hand, the surveys of massive galaxies lead to number densities about 10 times lower. It leads to conclusion that there must be big number of dim/cold massive galaxies. N. Trujillo formulated following question: Where are the untouched massive “relic” galaxies in the nearby Universe? Here, applying the SST, we show that most of them should be close to the threshold redshift 0.6415 and they should be composed of the bare neutron black holes. Such dim sphere of massive galaxies forces the radial acceleration of all galaxies at redshift about 0.35 up to 0.6415, and deceleration of all galaxies above such threshold redshift. The SST cosmology shows that the distribution of redshift of massive galaxies must be balanced in such a way that the average redshift was 0.6415. We showed that the postulated within the GR cosmology an acceleration of expansion of spacetime is an illusion (for redshift 0.35 up to about 0.6, we observe an acceleration whereas for redshift higher than about 0.6, we observe a deceleration). In reality, the SST shows that there indeed are the regions of acceleration and deceleration but their existence follows from the gravitational attraction of the massive dim sphere at mean redshift 0.6415. SST leads to conclusion that we should see a weak redshift quantization for redshift lower than 0.6415. Future more precise surveys of galaxies should confirm that the SST cosmology is correct. Here we described the number density of massive galaxies as a function of redshift and, separately, as a function of the SST time distance, we compared the SST, GR and Special-Relativity relative recession velocities (RRV), we described the redshift quantization, and we solved the luminosity problem of quasars.