The article discusses different versions of profile likelihood and directed likelihood in statistics. Two groups of adjusted versions are explored, with one group not needing a specific extra parameter but being less accurate than the modified versions. The second group includes more precise versions of modified profile likelihood. Additionally, the concept of extended likelihood is introduced, linking likelihood-like functions to certain combinants. The relationship between adjusted profile likelihoods and adjusted directed likelihoods is also examined, showing a close connection between modified profile likelihood and extended likelihood based on modified directed likelihood.