Business expenses may not be a "deduction". Instead, they are a cost of doing business and they directly reduce your operating income.
That said, if you are not the owner or you're not filing "self employed", then you may not be able to directly subtract expenses from the income. In that case, you would have un-reimbursed expenses as a direct result of or requirement for employment, which are handled sort of like deductions, but which have other restrictions.
To be able to answer the question though, you'll need to provide more information on the nature of the business, if you're incorporated or self employed, etc. If you are not self employed, then what you really need to do is have the company reimburse you for all those expenses and then have the company claim them as business expenses. Depending on tax brackets, that might actually save the company a bunch of money if the company is taxed at a higher rate than you are personally.
Also, expenses while commuting to and from your place of business are typically not deductable, however if your business involves driving to work sites in a company vehicle, then those should be business expenses subtracted from income. In any case, it's possible that the tax guy did in fact subtract these from your income and account for them, but they are still not "deductions".
