You want to add depreciation back to EBIT to get cash flow. Remember that depreciation expense has been treated as a deduction in arriving at EBIT. But since, as you've mentioned, depreciation expense is not a cash outflow, its presence in EBIT's calculation causes EBIT to be less than cash flow. Adding depreciation back to EBIT reverses out this effect.
In fact, when you've added depreciation (and amortization expense, which is depreciation's close cousin), you arrive at another familiar metric: EBITDA (earnings before interest, taxes, depreciation, and amortization). EBITDA is sometimes used as a proxy for cash flow, after further adjusting for capital expenditures.
Hope that helped out just a bit.
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