Does this faucet include the valve? If not what valve works with it?
The American Standard 3375.502 does include the valve.

Product Features:
Product Technologies:
Valve Trim Specifications:
Shower Head Specifications:
Tub Spout Specifications:
About American Standard:
An American brand with over 140 years of innovations, American Standard is defined by experience, intelligence, and indelible influence. As the patriarch for nearly every key product category for the kitchen and bath, their offering shows a level of thoughtfulness and sophistication that could only be attributed to a company with a legacy as rich as that of American Standard. Today, professional plumbers and contemporary DIY home owners continue to turn to American Standard because they appreciate this legacy and know they can trust the innovations behind each product. It is for this reason that American Standard is so widely used within residential and commercial projects in both the United States and abroad - their products truly deliver, just as they have for generations.This product is listed under the following manufacturer number(s):
*Denotes a finish or option that has been discontinued
The American Standard 3375.502 does include the valve.
The American Standard 3375.502 has an extension kit m962263-0070a.
The center lever of the American Standard 3375.502 from the valve center to the tip is 2".
The American Standard 3375.502 is 1/2" NPTF inlet.
The American Standard 3375.502 has the hot and cold handles work in opposite directions.
The American Standard 3375.502 does include the ceramic disc valve so it is ready to install.
The American Standard 3375.502 valves can be 6”-12” apart from each other.
| Spray Pattern | Rain |
|---|---|
| Handle Material | Metal |
| Diverter Included | Yes |
| Height | 4 |
| Showerhead | Single Function |
| Tub Spout Reach | 5.13 |
| Mounting Type | Wall Mounted |
| Theme | Traditional / Classic |
| Spout Reach | 4.75 |
| ADA | Yes |
| Showerhead Flow Rate | 2.5 |
| Slide Bar Included | No |
| Scald Guard | Yes |
| Escutcheon Width | 1.75 |
| Length | 6.5 |
| Number Of Bodysprays | 0 |
| Valve Included | No |
| Pressure Balanced | No |
| Valve Type | Ceramic Disc |
| Product Weight | 7.5 |
| Flow Rate (GPM) | 2.5 |
| Escutcheon Included | Yes |
| Bodysprays Included | No |
| Spray Settings | 1 |
| Handshower Included | No |
| Showerhead Shape | Round |
| Material | Brass |
| Handles Included | Yes |
| Flow Rate/GPM (Showerhead) | 2.5 |
| Handle Style | Lever |
| Showerhead Width | 3 |
| Drain Assembly Included | No |
| Number Of Handles | 3 |
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