Lines per mm (more correctly line pairs per mm, or cycles per mm) is not the same as Lines per Picture Height, so 7D's sensor is equal to about 116 lpmm. But you cannot compare lenses and sensors like that, even though people try to.
With lenses, as resolution goes up so contrast comes down. You cannot say a lens has x lpmm resolution unless you specify the % MTF contrast. Even then, what the lens can resolve is not what gets recorded, as all aspects of the imaging system have their individual MTF characteristics and these must be cascaded together. For example, if you had a sensor capable of resolving 100 lpmm and a lens capable of that resolution also, you'd be lucky to see anything more than 70-80 lpmm at best. Then the printer also has MTF, and so does the printing paper etc etc. Even your eye has MTF, though unless you change your eyes at least that remains a constant
Nyquist level puts a theoretical ceiling on sensor resolution, and the anti-aliasing filter caps that somewhat lower. Manufacturers don't talk much about their AA filters, where they cut, how hard they cut and so on, despite the fact that it is hugely significant. The only reference I have seen to it in promotional literature came from Leica, who claim a very high level/soft cut AA filter in the M9, which certainly enhances sharpness in theory, but of course runs the risk of aliasing if they overdo it.
What this boils down to is that just looking at pixels and Lpmm figures doesn't bear much relation to final image quality. For example, I recently compared my 40D (10mp) against a 7D (18mp) and a full frame 5D2 (21mp). The difference between the two crop format cameras was slight, despite the 80% increase in pixels, but comparing the 7D to the 5D2, the full frame image had a very clear advantage, despite only a small increase in pixel count. But then, those pixels are more than twice as big and the lens is operating at a lower MTF level where it delivers much greater contrast. I've not done the same comparison between a Nikon D3 (12mp) and a 7D, but I'd put money on the much lower res Nikon blitzing the 7D in terms of how sharp the final print actually looks.
One of the sharpest lenses I've seen tested on DPreview is the new 100mm L macro. Here it is on a 50D, comfortably maxing out the sensor at mid-range apertures. Quite a few lens do, they just reach a point where lens resolution is clearly increasing, but it's not showing on the sensor.
http://www.dpreview.com/lensreviews/canon_100_2p8_is_usm_c16/page3.asp