Is inheritance chaining something that should be avoided?
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I'm currently in the process of refactoring a java project and I have come across a number of classes (8) which all of them have a shared functionality. So, using the Extract Super Class refactoring, I created a super class with that functionality and passed it to all the sub-classes. Now, 2 of the classes have also a second shared functionality. Should I create another super class which inherits from the first super class and, in turn, is extended by the sub-classes **or** simply extend multiple classes on the 2 sub-classes?

Thoughts
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Even though both options *would* work, I feel that going for multiple extensions is preferable since it describes and clarifies the responsibilities of the class. Also, we would avoid making continuous super() calls in order to reach the top super class.  

 On the other hand, maybe having an inheritance chain kinda tidies up the place.

**Edit**: I understand I stated my problem completely wrong. The 8 classes that are mentioned above are made to abide by the command pattern and as such each one has a different purpose and functionality. I have extracted a super class to avoid code duplication inside their constructors. Two of those classes have also have a little bit more duplicate code (**not** duplicate functionality, in the sense that they do the same thing). Unfortunately, due to the nature of the project, the fact that I did not write the original code and the tight time schedule do not allow me to completely reconstruct the whole project. It's, let's say, beyond repair for now. But what I can do is patchwork to try to remove duplicate code and tidy the place up a bit.