The sentence is:
I’d encourage everyone to read as far into these sections as interest and patience allow.
Why it's "read ... into" and not simply "read", like this sentence:
I’d encourage everyone to read these sections as far as interest and patience allow.
I found it confusing mostly because my dictionary says the phrasal verb "read into" implies a negative meaning:
read into [read sth into sth]: think that a situation, action etc has a meaning or importance that it does not really have