
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
Given the curve $C$ with the polar coordinate equation $3ρ\sin θ+2ρ\cos θ=2$, and curve $C_{1}$: $ \begin{cases} x=1+3\cos α \\ y=2\sin α \end{cases}(α \text{ is a parameter})$.
(1) Find the general equation of curve $C_{1}$;
(2) If point $M$ moves on curve $C_{1}$, find the range of the distance from $M$ to curve $C$.

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