
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the rectangular coordinate system $(xOy)$, a polar coordinate system is established with the coordinate origin as the pole and the positive semi-axis of $x$ as the polar axis. The curve $C$: $ρ= \frac {3}{2-cos θ }$, $θ∈[0,2π)$, and the line $l \begin{cases} \overset{x=3+t}{y=2+2t}\end{cases}(t$ as the parameter, $t∈R)$.
(1) Find the ordinary equations of the curve $C$ and the line $l$;
(2) Suppose the line $l$ intersects the curve $C$ at points $A$ and $B$. Find the value of $|AB|$.

Present the answer in LaTex format: \boxed{Your answer}
user