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ASF policy is not to incorporate LGPLv3 source as LGPLv3 isn't AL 2.0 compatible ( http://www.apache.org/legal/resolved.html ). The same holds for closed source code; it would need to be under a compatible (ie: liberal) license.
LibreOffice can incorporate AL 2.0 code. ASF OpenOffice can't incorporate LibreOffice LGPLv3 code.
Note that the copyrights belong to individuals on Apache projects too. Any issues for users (the 'corporates') are likely to be around the LGPLv3 licensing; both the copyleft issues and the patent terms.