When you say 'exposes different', it might be meter calibration, it might be a fundamental difference in sensor sensitivity...for example, in the early days of Canon dSLR there were articles mentioning that Canon had not strictly adhered to the definition of ISO 100 sensitivity in one camera's behavior, that it was about ISO 125 in its behavior. Then, on a later model, Canon addressed that so that ISO 100 setting resulted in ISO 100 sensitivity!
So a test should look at
- exposure...set 7D and 7DII to fully Manual -- with identical shutter speed, f/stop, and ISO -- and see if the tonal density is similar (or different)
- metering...with identical ISO, do both meters provide the same reading when reading the same surface
Of course, if #1 seems different, then one has to wonder which fundamental cause might contribute
- f/stop of lens is not identical (we have seen in the past that even from one manufacturer f/4 might be truly f/3.9 on one lens and f/4.1 on the other...so test same lens mounted on both bodies
- shutter speed of cameras are not identical...one might be a fraction fast while the other is a fraction slow
- ISO...as mentioned, is ISO100 setting truly ISO100 behavior?!
To test #2, you should aim both cameras at the same uniformly illuminated and colored surface...the same 'white' wall, for example.
If it seems that the same uniform target is metered the same, then maybe it has to do with the different number of metering zones and their positions that results in the 'same scene' measured slightly differently while in Evaluative metering mode.