The full answer, which did not fit above, is:

closes and (checks, or controls, or inspects, or examines, or verifies, or audits) the company’s ledgers

We don’t call accounting books - “books” - in English, we call them “ledgers”. See:

https://www.accountingcoach.com/terms/L/ledger

http://dictionary.cambridge.org/dictionary/english/ledger

http://www.investopedia.com/terms/g/generalledger.asp

http://www.businessdictionary.com/definition/ledger.html

https://en.wikipedia.org/wiki/Ledger

Also, Kon. Kantzou's Greek – English Λεξικό Λογιστικής gives the meaning of ‘έλεγχος’ (in an accounting sense) to be ‘audit’, and the Oxford Greek – English dictionary gives the relevant meanings of ‘ελέγχω’ to be ‘control’, ‘check’, ‘inspect, ‘verify’, ‘examine’, ‘audit’.

See the following examples:

Step 3 – General Ledger: Set up general ledger accounts. .... the end of the financial year a similar event occurs and the system closes the ledgers and recreates.
http://www.virtualworlds.co.nz/apps/bize/BizE.pdf

Studies business and accounting procedures and recommends changes;. Balances and closes the ledgers;. Compiles data, prepares and submits periodic ...
http://www.ntschools.org/cms/lib/NY19000908/Centricity/Domai...

This routine will close the ledgers one at a time. The Accounts Receivable is closed at the start of the first day of a new period otherwise any subsequent ...
http://www.caliach.com/caliach/support/faq/ledgersguide.html

28 Dec 1974 - ... Watergate cover‐up trial today by telling the jurors that it was now up to them to “balance the accounts” and close the ledgers on Watergate.
http://www.nytimes.com/1974/12/28/archives/prosecutor-bids-w...

18 Dec 2008 - He returns to the branch office around 4pm and checks the ledgers and balance sheets of collections and loan disbursements. His day ends ...
https://www.telegraphindia.com/1081218/jsp/careergraph/story...

Supervises the management of KDD affairs, whereby it reviews and verifies the ledgers and other KDD documents with no restrictions or limitations whatsoever,.
https://www-en.kdd.si/_files/1101/PFMI assessment ANG_final....


Controls daily revenue from all points of sale. ○ Producing the hotel's daily business sheet. ○ Audits the ledgers and consolidates the hotel's business report.
https://uk.linkedin.com/in/sham-s-bhalshankar-8b03215b

... management to better manage the business, to produce annual accounts and other statutory returns whilst ensuring the accuracy of the company's ledgers.
http://www.meritcom.com/office.htm

According to a company insider who read the report, “There wasn't an entry on the cost side of the company's ledgers for those years that wasn't subject to some ...
https://books.google.co.uk/books?id=mua5DQAAQBAJ&pg=PA77&lpg...



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Note added at 16 hrs (2017-10-13 08:11:21 GMT)
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Sorry, I had meant to enter 'High' or '4' as my confidence level, but my hand must have slipped.

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Note added at 1 day13 hrs (2017-10-14 04:46:01 GMT)
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Of course, you can also say, "... the business's ledgers", instead of "the company's ledgers". See:

https://www.google.co.uk/search?source=hp&q="the business's ...