Reaction Mechanism of Cl2 and CHCl3

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i_love_science
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Homework Statement
Which response identifies the intermediate(s) in the following mechanism?
Cl2 -> 2 Cl (fast)
Cl + CHCl3 -> CCl3 + HCl (slow)
CCl3 + Cl -> CCl4 (fast)

A) Cl
B) CCl3
C) CHCl3
D) Both Cl and CHCl3
Relevant Equations
reaction mechanism
I think the answer is both A) Cl and B) CCl3, since both are produced and used up. The correct solution is only A). Could anyone explain why? Thanks.
 
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Cl is produced quickly by
$$Cl_2\rightarrow 2Cl$$
and consumed slowly by
$$Cl+CHCl_3\rightarrow CCl_3+HCl$$
On the other hand, ##CCl3## is produced slowly and consumed quickly.

IMO both A) and B) are intermediates, but this problem uses a different logic.