Best fits and best SFHs obtained for six example galaxies. The black points show the observations, the pink solid line the best fit obtained with the truncated SFH, and the gray dashed line the best fit obtained with the normal delayed-τ SFH. The six top panels show the SED and SFH of sources for which the two SFHs provide equivalent fit. The six bottom panels show examples of sources for which the delayed-τ SFH does not provide a satisfactory fit. The galaxies #20946, #20989, and #29927 have been selected as candidates. For #20989, the light blue curves in both the SED and SFH panels indicate the results obtained using a two-population SFH model (two exponentially decreasing SFHs).