You can integrate the LGPL component into a proprietary solution as long as it stays separate. So for example linking is fine, usage as a processor is fine. Bundling is also fine, as long as you clearly state that the bundle contains LGPL software and which that is.
You certainly can modify that software to your needs, that is the whole point of Open Source Software. However of you spread it again afterwards, for example by bundling it with your framework, you have to publish your modifications.
In general follow this rule of thumb:
You can use it and modify it to your needs, but do not try to make it appear as if you implemented that solution. Be fair and give credits to those who did the work for you.